Exam 9: Circular Motion

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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 velocity 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 velocity of the object at t = t<sub>f</sub> is

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A flatbed truck goes around a curve of radius R with speed V.There is a box on the truck of M kg mass.Which statement is correct concerning the net horizontal force on the box,if the box does not slide?

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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 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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The moon Demos takes 30 hours 26 minutes to complete one orbit around Mars.Assuming it orbits in a circular path and its average speed is 1348 m/s,what is the radius of Demos' orbit around Mars?

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A CD-ROM starts from rest and undergoes uniform angular acceleration until it reaches 26,000 rpm in 0.25 s.What is its angular acceleration?

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A racing motorcycle accelerates at a constant rate from zero to 280 km/h in 39 seconds.If the outer diameter of the motorcycle's wheels is 64 cm and they turn without slipping,the angular acceleration of each wheel is

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Two masses are attached to a 1-meter rope as shown such that one quarter of the rope hangs vertically below the frictionless table.m1 (= 2 kg)is set into circular motion with speed 3.0 m/s.What is the tension in the rope if m2 is to remain stationary? Two masses are attached to a 1-meter rope as shown such that one quarter of the rope hangs vertically below the frictionless table.m<sub>1</sub> (= 2 kg)is set into circular motion with speed 3.0 m/s.What is the tension in the rope if m<sub>2</sub> is to remain stationary?

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A 2.0-m long string is tied to a 3.0-kg rock and the rock is twirled around in a circle at a constant speed.The speed of the rock is such that the string makes an angle of 45 degrees with the horizontal.What is the speed of the rock?

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A plastic disk of radius 10 cm is spinning at 120 rpm.What is the magnitude of the centripetal acceleration of the outer rim of the disk?

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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/s<sup>2</sup> and it makes an angle  \theta  = 20<sup> \circ </sup> with position vector as shown in the figure.At this instant,find the speed,v =   of the particle.   is 16.0 m/s2 and it makes an angle θ\theta = 20 \circ with position vector as shown in the figure.At this instant,find the speed,v =  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/s<sup>2</sup> and it makes an angle  \theta  = 20<sup> \circ </sup> with position vector as shown in the figure.At this instant,find the speed,v =   of the particle.   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/s<sup>2</sup> and it makes an angle  \theta  = 20<sup> \circ </sup> with position vector as shown in the figure.At this instant,find the speed,v =   of the particle.

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A centrifuge in a medical laboratory is to be operated at an angular speed of 3,600 rpm (revolutions per minute).If the centrifuge starts from rest and the angular acceleration is 80.0 π\pi rad/s2,how many revolutions does the centrifuge make as it speeds up to its operating angular speed?

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A bicycle has a wheel of radius of 14.0 inches.What is the angular speed of the wheels when the bicycle has a forward speed of 8.0 m/s?

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The wheel of a racing car is rotating at 200 rpm at a given instant of time.In the next minute it makes 100 revolutions.The angular acceleration of the wheel is

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A 45-kg woman is riding a Ferris wheel of radius 15 m at a constant speed.The angular speed of the Ferris wheel that would make her weightless at the top is

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The maximum speed a driver can travel on the banked curve on the Daytona Speedway is 45 m/s without using friction between his tires and the road to make the turn.The radius of the turn is 301m.What is the angle of the bank relative to the horizontal?

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A clothes dryer is spinning at 75 rpm.A student opens its door and it comes to rest after rotating through four revolutions.Assume constant acceleration.What was the magnitude of the dryer's angular acceleration?

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A 1-m long pendulum with a mass of 5 kg moves at a velocity of 3 m/s at the bottom of its swing.What it the tension in the string at this point?

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Two masses are attached to a 1-meter rope as shown such that part of the rope hangs vertically below the frictionless table.m1 (= 2 kg)is set into circular motion with speed 3.0 m/s.What is the length of rope hanging vertically below the table if tension in the rope if m2 (= 5 kg)is to remain stationary? Two masses are attached to a 1-meter rope as shown such that part of the rope hangs vertically below the frictionless table.m<sub>1</sub> (= 2 kg)is set into circular motion with speed 3.0 m/s.What is the length of rope hanging vertically below the table if tension in the rope if m<sub>2</sub> (= 5 kg)is to remain stationary?

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A 2.0-m long string is tied to a 3.0-kg rock and the rock is twirled around in a circle at a constant speed.The speed of the rock is such that the string makes an angle of 45 degrees with the horizontal.How long does it take the rock to complete one full circle?

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A ceiling fan is rotating in counter-clockwise direction (looking up from the ground)but it is slowing down.What direction are A ceiling fan is rotating in counter-clockwise direction (looking up from the ground)but it is slowing down.What direction are   and   ?  and A ceiling fan is rotating in counter-clockwise direction (looking up from the ground)but it is slowing down.What direction are   and   ?  ? A ceiling fan is rotating in counter-clockwise direction (looking up from the ground)but it is slowing down.What direction are   and   ?

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