The sprockets and chain of a bicycle are shown in the figure. The pedal sprocket has a radius of 4 in., the wheel sprocket a radius of 2 in., and the wheel a radius of 13 in. The cyclist pedals at 40 rpm. A. Calculate the angular speed of the pedal sprocket in radians per minute.

Rotational motion. I need help with #7

A ship's wheel can be approximated as an annular cylinder (different from a ring) of mass 6.7 kilograms, inner radius 25 centimeters, and outer radius 32 centimeters; and eight spokes of mass 0.50 kilograms and length 49 centimeters.   a. What is the moment of inertia? Include units in your answer. More information. b. Disagreeing over which way to go, the captain and the helmsman try to turn the wheel in opposite directions. The captain applies a force of 311 newtons at the inner radius, while the helmsman applies a force of 287 newtons at the outer radius. What is the magnitude of the angular acceleration of the wheel? Include units in your answer.

The diagram shows a top view of a child on a merry-go-round that is rotating counterclockwise. Assume the platform rotates without friction. If the child starts to walk towards the center of the merry-go-round … A. What happens to the moment of inertia of the system? B. What happens to the angular velocity of the system?

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A metal disc in a playground with a mass of 45 kg and a diameter of 4 meters is rotating on its central frictionless axis with an initial angular velocity of 3 rad/s. A child with a mass of 14 kg suddenly jumps unto the disc and stands on the edge. a.What is the new angular velocity of the disc with the kid on it? b. What is the tangential velocity of the kid as he rides the disc?

A power drill starts from rest and undergoes uniform angular acceleration for a period of 0.175 s until it turns at a rate of 2.65 ✕ 104 rev/min.A.What is the drill's angular acceleration (in rad/s2)? (Enter the magnitude.)B. What is the angle (in radians) through which the drill rotates during this period? (Enter the magnitude.)

A bicycle is rolling down a circular hill that has a radius of 7.49 m. As the figure illustrates, the angular displacement of the bicycle is 0.960 rad. The radius of each wheel is 0.449 m. What is the angle (in radians) through which each tire rotates? Number i Units rad

A ceiling fan with 100.0 cm diameter blades is turning at 55.0 rpm. Suppose the fan coasts to a stop 35.0 seconds after being turned off. Assuming the fan is slowing down at a constant rate, what is the angular acceleration (in rad/s/s) of the fan? Submit Answer Tries 0/10 What is the fan's angular velocity (in rad/s) 20 seconds after being turned off? Submit Answer Tries 0/10 What is the speed of the tip of the blade (in m/s) 20 seconds after being turned off? Submit Answer Tries 0/10 Through how many revolutions does the fan turn while stopping? Submit Answer Tries 0/10

Please help me with these questions A motor speeds up the flywheel with a constant torque of 75 N m. a. Find the moment of inertia about the axis of rotation of the disk.      b. Calculate the angular acceleration.       c. Determine how long it takes the flywheel to reach top speed.  d. Calculate the amount of energy stored in the flywheel.   The flywheel is disconnected from the motor and connected to a machine to which it will deliver energy.  Half of the energy stored in the flywheel is delivered in 4.0 seconds. e.Calculate the average power delivered to the machine by the flywheel.