Question 1

A grindstone spinning at the rate of 8.3 rev/s has what approximate angular speed?

Accepted Answer

A)  3.2 rad/s 
B)  26 rad/s 
C)  52 rad/s 
D)  81 rad/s 
A)  3.2 rad/s 
B)  26 rad/s 
C)  52 rad/s 
D)  81 rad/s

Question 2

A 0.30-m-radius automobile tire accelerates from rest at a constant 2.0 rad/s2 over a 5.0-s interval.What is the tangential component of acceleration for a point on the outer edge of the tire during the 5-s interval?

Accepted Answer

A)  33 m/s2 
B)  6.7 m/s2 
C)  0.60 m/s2 
D)  0.30 m/s2 
A)  33 m/s2 
B)  6.7 m/s2 
C)  0.60 m/s2 
D)  0.30 m/s2

Question 3

A point on the rim of a 0.30-m-radius rotating wheel has a tangential speed of 4.0 m/s.What is the tangential speed of a point 0.20 m from the center of the same wheel?

Accepted Answer

A)  1.0 m/s 
B)  1.3 m/s 
C)  2.7 m/s 
D)  8.0 m/s 
A)  1.0 m/s 
B)  1.3 m/s 
C)  2.7 m/s 
D)  8.0 m/s

Question 4

Which of the following best describes the property of the period of orbital revolution for an Earth satellite?

Accepted Answer

A)  greater when the orbital radius is smaller 
B)  greater when the orbital radius is larger 
C)  independent of the orbital radius 
D)  determined mainly by the satellite's mass 
A)  greater when the orbital radius is smaller 
B)  greater when the orbital radius is larger 
C)  independent of the orbital radius 
D)  determined mainly by the satellite's mass

Question 5

The Earth is 93 million miles (mi)from the Sun and its period of revolution is 1 year = 3.15 × 107 s.What is the acceleration of the Earth in its orbit about the Sun?

Accepted Answer

A)  18.6 mi/s2 
B)  9.3 × 10−3 mi/s2 
C)  13.6 × 10−6 mi/s2 
D)  3.7 × 10−6 mi/s2 
A)  18.6 mi/s2 
B)  9.3 × 10−3 mi/s2 
C)  13.6 × 10−6 mi/s2 
D)  3.7 × 10−6 mi/s2

Question 6

A ventilation fan has blades 0.25 m long rotating at 20 rpm.What is the centripetal acceleration of a point on the outer tip of a blade?

Accepted Answer

A)  1.1 m/s2 
B)  0.87 m/s2 
C)  0.55 m/s2 
D)  0.23 m/s2 
A)  1.1 m/s2 
B)  0.87 m/s2 
C)  0.55 m/s2 
D)  0.23 m/s2

Question 7

Suppose a wheel is initially rotating at 10.0 rad/s while undergoing constant angular acceleration reaching a speed of 30.0 rad/s after 20.0 seconds have elapsed.How long after the initial time has the wheel undergone half of the angular displacement that it will have gone through during the entire 20.0 second interval?

Accepted Answer

A)  10.0 s 
B)  12.4 s 
C)  14.2 s 
D)  15.0 s 
A)  10.0 s 
B)  12.4 s 
C)  14.2 s 
D)  15.0 s

Question 8

In order for a satellite to be geosynchronous,its orbit must:

Accepted Answer

A)  go over the North and South Poles. 
B)  be over the equator. 
C)  be over a single longitude. 
D)  emit television signals. 
A)  go over the North and South Poles. 
B)  be over the equator. 
C)  be over a single longitude. 
D)  emit television signals.

Question 9

What centripetal force does an 80-kg passenger experience when seated 12 m from the center of a Ferris wheel whose angular speed is 0.50 rad/s?

Accepted Answer

A)  484 N 
B)  720 N 
C)  914 N 
D)  240 N 
A)  484 N 
B)  720 N 
C)  914 N 
D)  240 N

Question 10

Doubling the mean distance from the Sun results in changing the orbital period of revolution by what factor?

Accepted Answer

A)  21/2 
B)  2 
C)  23/2 
D)  22 
A)  21/2 
B)  2 
C)  23/2 
D)  22

Question 11

At what speed will a car round a 52-m-radius curve,banked at a 45° angle,if no friction is required between the road and tires to prevent the car from slipping? (g = 9.8 m/s2)

Accepted Answer

A)  27 m/s 
B)  17 m/s 
C)  23 m/s 
D)  35 m/s 
A)  27 m/s 
B)  17 m/s 
C)  23 m/s 
D)  35 m/s

Question 12

For any object orbiting the Sun,Kepler's Law may be written T2 = kr3.If T is measured in years and r in units of the Earth's distance from the Sun,then k = 1.What,therefore,is the time (in years)for Mars to orbit the Sun if its mean radius from the Sun is 1.5 times the Earth's distance from the Sun?

Accepted Answer

A)  1.8 years 
B)  2.8 years 
C)  3.4 years 
D)  4.2 years 
A)  1.8 years 
B)  2.8 years 
C)  3.4 years 
D)  4.2 years

Question 13

A roller coaster,loaded with passengers,has a mass of 2 000 kg;the radius of curvature of the track at the bottom point of the dip is 24 m.If the vehicle has a speed of 18 m/s at this point,what force is exerted on the vehicle by the track? (g = 9.8 m/s2)

Accepted Answer

A)  2.3 × 104 N 
B)  4.7 × 104 N 
C)  3.0 × 104 N 
D)  1.0 × 104 N 
A)  2.3 × 104 N 
B)  4.7 × 104 N 
C)  3.0 × 104 N 
D)  1.0 × 104 N

Question 14

At an altitude of 4 times the radius of the earth,the acceleration due to gravity is

Accepted Answer

A)  g/2. 
B)  g/4. 
C)  g/16. 
D)  not given. 
A)  g/2. 
B)  g/4. 
C)  g/16. 
D)  not given.

Question 15

A bucket in an old well is hoisted upward by a rope which winds up on a cylinder having a radius of 0.050 m.How many rev/s must the cylinder turn if the bucket is raised at a speed of 0.15 m/s?

Accepted Answer

A)  3.0 rev/s 
B)  1.5 rev/s 
C)  0.48 rev/s 
D)  0.24 rev/s 
A)  3.0 rev/s 
B)  1.5 rev/s 
C)  0.48 rev/s 
D)  0.24 rev/s

Question 16

When a point on the rim of a 0.30-m-radius wheel experiences a centripetal acceleration of 4.0 m/s2,what tangential acceleration does that point experience?

Accepted Answer

A)  1.2 m/s2 
B)  2.0 m/s2 
C)  4.0 m/s2 
D)  Cannot determine with the information given. 
A)  1.2 m/s2 
B)  2.0 m/s2 
C)  4.0 m/s2 
D)  Cannot determine with the information given.

Question 17

A spool of thread has an average radius of 1.00 cm.If the spool contains 62.8 m of thread,how many turns of thread are on the spool? "Average radius" allows us to not need to treat the layering of threads on lower layers.

Accepted Answer

A)  100 
B)  1 000 
C)  3 140 
D)  62 800 
A)  100 
B)  1 000 
C)  3 140 
D)  62 800

Question 18

A careful photographic survey of Jupiter's moon Io by the spacecraft Voyager 1 showed active volcanoes spewing liquid sulfur to heights of 70 km above the surface of this moon.If the value of g on Io is 2.0 m/s2,estimate the speed with which the liquid sulfur left the volcano.

Accepted Answer

A)  260 m/s 
B)  530 m/s 
C)  790 m/s 
D)  970 m/s 
A)  260 m/s 
B)  530 m/s 
C)  790 m/s 
D)  970 m/s

Question 19

A 1 500-kg car rounds an unbanked curve with a radius of 52 m at a speed of 12 m/s.What minimum coefficient of friction must exist between the road and tires to prevent the car from slipping? (g = 9.8 m/s2)

Accepted Answer

A)  0.18 
B)  0.30 
C)  0.28 
D)  0.37 
A)  0.18 
B)  0.30 
C)  0.28 
D)  0.37

Question 20

Of the nine known planets in our solar system,the innermost is Mercury.When compared to the other planets in the system,Mercury has the:

Accepted Answer

A)  greatest centripetal acceleration. 
B)  greatest period of revolution. 
C)  smallest angular velocity. 
D)  smallest tangential velocity. 
A)  greatest centripetal acceleration. 
B)  greatest period of revolution. 
C)  smallest angular velocity. 
D)  smallest tangential velocity.

Exam 7: Rotational Motion and the Law of Gravity

A grindstone spinning at the rate of 8.3 rev/s has what approximate angular speed?

A 0.30-m-radius automobile tire accelerates from rest at a constant 2.0 rad/s2 over a 5.0-s interval.What is the tangential component of acceleration for a point on the outer edge of the tire during the 5-s interval?

A point on the rim of a 0.30-m-radius rotating wheel has a tangential speed of 4.0 m/s.What is the tangential speed of a point 0.20 m from the center of the same wheel?

Which of the following best describes the property of the period of orbital revolution for an Earth satellite?

The Earth is 93 million miles (mi)from the Sun and its period of revolution is 1 year = 3.15 × 107 s.What is the acceleration of the Earth in its orbit about the Sun?

A ventilation fan has blades 0.25 m long rotating at 20 rpm.What is the centripetal acceleration of a point on the outer tip of a blade?

In order for a satellite to be geosynchronous,its orbit must:

What centripetal force does an 80-kg passenger experience when seated 12 m from the center of a Ferris wheel whose angular speed is 0.50 rad/s?

Doubling the mean distance from the Sun results in changing the orbital period of revolution by what factor?

At what speed will a car round a 52-m-radius curve,banked at a 45° angle,if no friction is required between the road and tires to prevent the car from slipping? (g = 9.8 m/s2)

A roller coaster,loaded with passengers,has a mass of 2 000 kg;the radius of curvature of the track at the bottom point of the dip is 24 m.If the vehicle has a speed of 18 m/s at this point,what force is exerted on the vehicle by the track? (g = 9.8 m/s2)

At an altitude of 4 times the radius of the earth,the acceleration due to gravity is

A bucket in an old well is hoisted upward by a rope which winds up on a cylinder having a radius of 0.050 m.How many rev/s must the cylinder turn if the bucket is raised at a speed of 0.15 m/s?

When a point on the rim of a 0.30-m-radius wheel experiences a centripetal acceleration of 4.0 m/s2,what tangential acceleration does that point experience?

A spool of thread has an average radius of 1.00 cm.If the spool contains 62.8 m of thread,how many turns of thread are on the spool? "Average radius" allows us to not need to treat the layering of threads on lower layers.

A careful photographic survey of Jupiter's moon Io by the spacecraft Voyager 1 showed active volcanoes spewing liquid sulfur to heights of 70 km above the surface of this moon.If the value of g on Io is 2.0 m/s2,estimate the speed with which the liquid sulfur left the volcano.

A 1 500-kg car rounds an unbanked curve with a radius of 52 m at a speed of 12 m/s.What minimum coefficient of friction must exist between the road and tires to prevent the car from slipping? (g = 9.8 m/s2)

Of the nine known planets in our solar system,the innermost is Mercury.When compared to the other planets in the system,Mercury has the:

Introduction

Introduction: Part A

Motion in One Dimension

Motion in One Dimension: Part A

Vectors and Two-Dimensional Motion

Vectors and Two-Dimensional Motion: Part A

The Laws of Motion

The Laws of Motion: Part A

Energy

Energy: Part A

Momentum and Collisions

Momentum and Collisions: Part A

Rotational Motion and the Law of Gravity: Part A

Rotational Equilibrium and Rotational Dynamics

Rotational Equilibrium and Rotational Dynamics: Part A

Solids and Fluids

Solids and Fluids: Part A

Thermal Physics

Thermal Physics: Part A

Energy in Thermal Processes Heat and Internal Energy

Energy in Thermal Processes Heat and Internal Energy: Part A

The Laws of Thermodynamics Work in Thermodynamic Processes

The Laws of Thermodynamics Work in Thermodynamic Processes: Part A

Vibrations and Waves

Vibrations and Waves: Part A

Sound

Sound: Part A

Electric Forces and Electric Fields

Electric Forces and Electric Fields: Part A

Electrical Energy and Capacitance

Electrical Energy and Capacitance: Part A

Current and Resistance Electric Current

Current and Resistance Electric Current: Part A

Direct-Current Circuits Sources of EMF

Direct-Current Circuits Sources of EMF: Part A

Magnetism Magnets

Magnetism Magnets: Part A

Induced Voltages and Inductance

Induced Voltages and Inductance: Part A

Alternating-Current Circuits and Electromagnetic Waves

Alternating-Current Circuits and Electromagnetic Waves: Part A

Reflection and Refraction of Light

Reflection and Refraction of Light: Part A

Mirrors and Lenses

Mirrors and Lenses: Part A

Wave Optics

Wave Optics: Part A

Optical Instruments

Optical Instruments: Part A

Relativity

Relativity: Part A

Quantum Physics Blackbody Radiation and Plancks Hypothesis

Quantum Physics Blackbody Radiation and Plancks Hypothesis: Part A

Atomic Physics

Atomic Physics: Part A

Nuclear Physics

Nuclear Physics: Part A

Nuclear Energy and Elementary Particles

Nuclear Energy and Elementary Particles: Part A

Particle Collisions, Mediating Photons, and Quark Structures: Exploring the Fundamentals of Physics

Filters

A 0.30-m-radius automobile tire accelerates from rest at a constant 2.0 rad/s² over a 5.0-s interval.What is the tangential component of acceleration for a point on the outer edge of the tire during the 5-s interval?

The Earth is 93 million miles (mi)from the Sun and its period of revolution is 1 year = 3.15 × 10⁷ s.What is the acceleration of the Earth in its orbit about the Sun?

At what speed will a car round a 52-m-radius curve,banked at a 45° angle,if no friction is required between the road and tires to prevent the car from slipping? (g = 9.8 m/s²)

A roller coaster,loaded with passengers,has a mass of 2 000 kg;the radius of curvature of the track at the bottom point of the dip is 24 m.If the vehicle has a speed of 18 m/s at this point,what force is exerted on the vehicle by the track? (g = 9.8 m/s²)

When a point on the rim of a 0.30-m-radius wheel experiences a centripetal acceleration of 4.0 m/s²,what tangential acceleration does that point experience?

A careful photographic survey of Jupiter's moon Io by the spacecraft Voyager 1 showed active volcanoes spewing liquid sulfur to heights of 70 km above the surface of this moon.If the value of g on Io is 2.0 m/s²,estimate the speed with which the liquid sulfur left the volcano.

A 1 500-kg car rounds an unbanked curve with a radius of 52 m at a speed of 12 m/s.What minimum coefficient of friction must exist between the road and tires to prevent the car from slipping? (g = 9.8 m/s²)