The figure represents the velocity and the acceleration of a particle moving clockwise in a circle of radius 25.0 cm.At a certain instant of time,the magnitude of its acceleration,a = is 16.0 m/s2 and it makes an angle $\theta$ = 20S1U1P1$\circ$S1S1P0 with position vector as shown in the figure.At this instant,what is the magnitude of the angular acceleration of the particle?

A) 3.75 rad/s2 B) 1.37 rad/s2 C) 60.1 rad/s2 D) 21.9 rad/s2 E) 1.46 rad/s2 A) 3.75 rad/s2 B) 1.37 rad/s2 C) 60.1 rad/s2 D) 21.9 rad/s2 E) 1.46 rad/s2

Exam 9: Circular Motion

A spy satellite is in circular orbit around the Earth at an altitude of 500 km above ground.What is the satellite's centripetal acceleration,if it makes one revolution every 90 min? (The radius of Earth is approximately 6400 km.)

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Question 41

The surface of the exit road is horizontal,not banked.(See figure.)If the radius of curvature of a highway exit is 82.5 m and the maximum speed with which the car can exit the highway safely without sliding is 25.2 m/s,what is the coefficient of static friction between the tires and the surface of the road?

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Question 42

The radius of curvature of a highway exit is r = 68.5 m.The surface of the exit road is horizontal,not banked.(See figure.)If the static friction between the tires and the surface of the road is µs = 0.688,then what is the maximum speed at which the car can exit the highway safely without sliding? (in m/s)

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Question 43

An amusement park ride has a diameter of 16 meters and revolves at 15 rpm (revolutions per minute).How fast is a rider moving if she sits at the outermost part of the ride?

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Question 44

The angular speed of the second hand of a clock is _______.

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Question 45

An old music record rotates with 33.3 revolutions per minute.Its angular speed is

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Question 46

The figure represents the velocity and the acceleration of a particle moving clockwise in a circle of radius 25.0 cm.At a certain instant of time,the magnitude of its acceleration,a = $The figure represents the velocity and the acceleration of a particle moving clockwise in a circle of radius 25.0 cm.At a certain instant of time,the magnitude of its acceleration,a = is 16.0 m/s2 and it makes an angle \theta = 20 \circ with position vector as shown in the figure.At this instant,what is the magnitude of the angular acceleration of the particle?$ is 16.0 m/s² and it makes an angle $\theta$ = 20^$\circ$ with position vector as shown in the figure.At this instant,what is the magnitude of the angular acceleration of the particle? $The figure represents the velocity and the acceleration of a particle moving clockwise in a circle of radius 25.0 cm.At a certain instant of time,the magnitude of its acceleration,a = is 16.0 m/s2 and it makes an angle \theta = 20 \circ with position vector as shown in the figure.At this instant,what is the magnitude of the angular acceleration of the particle?$

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Question 47

A roller coaster has a loop of radius 16.0 m.What does the linear speed of the roller coaster car have to be at the top of the loop for the passengers to feel weightless?

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Question 48

A ball attached to the end of a string is swung around in a circular path of radius r.If the radius is doubled and the angular speed is kept constant,

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Question 49

A small object with a mass of m = 658 g is whirled at the end of a rope in a vertical circle with a radius of r = 137 cm.When it is at the location shown,(mid-height),and its speed is v = 5.54 m/s.Determine the tension in the rope.(in N)

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Question 50

The moon Demos is 23,500 km from Mars.Assuming it orbits in a circular path and its average speed is 1348 m/s,how much time does it take Demos to complete one orbit?

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Question 51

A flywheel with a 1 m diameter is initially at rest.Its angular acceleration versus time is given in the graph below.What is the angular separation between the initial and the final positions of a fixed point on the rim of the flywheel 8 seconds after the wheel starts rotating?

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Question 52

An orbital space station generates "artificial" gravity by spinning.Consider a 100-kg person standing against the outside wall of a doughnut shaped space station with an outer diameter of 2.0 km.What is the period of rotation for the space station such that the space station exerts a force on the person equal to the weight of the person on the surface of the Earth?

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Question 53

Two hikers begin on opposite sides of a circular lake and walk around the lake in the same direction.One walks three times as fast as the other.The circumference of the lake is L.How far does the faster hiker walk before catching up to the slower one?

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Question 54

A ball attached to the end of a string is swung around in a circular path of radius r.If the radius is doubled and the linear speed is kept constant,

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Question 55

A small object with a mass of m = 658 g is whirled at the end of a rope in a vertical circle with a radius of r = 137 cm.When it is at the location shown,(mid-height),and its speed is v = 5.54 m/s,calculate the magnitude of the total force acting on the mass.(in N)

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Question 56

A wheel of radius 4 m is spinning with a constant angular velocity of 2 rad/s.What is the centripetal acceleration of a point on the wheel's rim?

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Question 57

A ball attached to the end of a string is swung around in a circular path of radius r.If the radius is doubled and the linear speed is held constant,the angular speed will

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Question 58

The angular velocity versus time for an object undergoing circular motion is shown in the figure.If the object started from rest at t = 0 s,the net angular displacement of the object at t = t_f is

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Question 59

The angular acceleration versus time for an object undergoing circular motion is shown in the figure below.If the object started from rest at t = 0 s,the net angular displacement of the object at t = t_f is

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Question 60

Showing 41 - 60 of 78

Exam 9: Circular Motion

A spy satellite is in circular orbit around the Earth at an altitude of 500 km above ground.What is the satellite's centripetal acceleration,if it makes one revolution every 90 min? (The radius of Earth is approximately 6400 km.)

An amusement park ride has a diameter of 16 meters and revolves at 15 rpm (revolutions per minute).How fast is a rider moving if she sits at the outermost part of the ride?

The angular speed of the second hand of a clock is _______.

An old music record rotates with 33.3 revolutions per minute.Its angular speed is

A roller coaster has a loop of radius 16.0 m.What does the linear speed of the roller coaster car have to be at the top of the loop for the passengers to feel weightless?

A ball attached to the end of a string is swung around in a circular path of radius r.If the radius is doubled and the angular speed is kept constant,

A small object with a mass of m = 658 g is whirled at the end of a rope in a vertical circle with a radius of r = 137 cm.When it is at the location shown,(mid-height),and its speed is v = 5.54 m/s.Determine the tension in the rope.(in N)

The moon Demos is 23,500 km from Mars.Assuming it orbits in a circular path and its average speed is 1348 m/s,how much time does it take Demos to complete one orbit?

A flywheel with a 1 m diameter is initially at rest.Its angular acceleration versus time is given in the graph below.What is the angular separation between the initial and the final positions of a fixed point on the rim of the flywheel 8 seconds after the wheel starts rotating?

Two hikers begin on opposite sides of a circular lake and walk around the lake in the same direction.One walks three times as fast as the other.The circumference of the lake is L.How far does the faster hiker walk before catching up to the slower one?

A ball attached to the end of a string is swung around in a circular path of radius r.If the radius is doubled and the linear speed is kept constant,

A small object with a mass of m = 658 g is whirled at the end of a rope in a vertical circle with a radius of r = 137 cm.When it is at the location shown,(mid-height),and its speed is v = 5.54 m/s,calculate the magnitude of the total force acting on the mass.(in N)

A wheel of radius 4 m is spinning with a constant angular velocity of 2 rad/s.What is the centripetal acceleration of a point on the wheel's rim?

A ball attached to the end of a string is swung around in a circular path of radius r.If the radius is doubled and the linear speed is held constant,the angular speed will

The angular velocity versus time for an object undergoing circular motion is shown in the figure.If the object started from rest at t = 0 s,the net angular displacement of the object at t = tf is

The angular acceleration versus time for an object undergoing circular motion is shown in the figure below.If the object started from rest at t = 0 s,the net angular displacement of the object at t = tf is

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The angular velocity versus time for an object undergoing circular motion is shown in the figure.If the object started from rest at t = 0 s,the net angular displacement of the object at t = t_f is

The angular acceleration versus time for an object undergoing circular motion is shown in the figure below.If the object started from rest at t = 0 s,the net angular displacement of the object at t = t_f is