A wheel of mass 40 kg and radius of gyration 0.5 m comes to rest from a speed of 180 rpm in 3s. Assuming that the ratardation is uniform then the value of retarding torque in Nm is-
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A: Angular acceleration, α = 2.6 rad/s² Mass, m = 10.9 kg Radius, r = 0.757 m Torque, τ = ?
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- The moment of inertia is the rotational equivalent of mass Ture or False*21-48. The man sits on a swivel chair which is rotating with a constant angular velocity of 3 rad/s. He holds the uniform 5-lb rod AB horizontal. He suddenly gives it an angular acceleration of 2 rad/s, measured relative to him, as shown. Determine the required force and moment components at the grip, A, necessary to do this. Establish axes at the rod's center of mass G, with +z upward, and +y directed along the axis of the rod toward A. 3 rad/s 3 ft 2 ft 2 rad/s?A uniform, solid sphere of radius 5.25 cm and mass 5.00 kg starts with a purely translational speed of 2.25 m/s at the top of an inclined plane. The surface of the incline is 1.00 m long, and is tilted at an angle of 30.0∘ with respect to the horizontal. Assuming the sphere rolls without slipping down the incline, calculate the sphere's final translational speed ?2 at the bottom of the ramp.
- A 1.6-kg grindstone in the shape of a uniform cylinder ofradius 0.20 m acquires a rotational rate of 24 rev/s fromrest over a 6.0-s interval at constant angular acceleration.Calculate the torque delivered by the motor.A 15.7-N force is applied to a cord wrapped around a pulley of mass M = 3.63-kg and radius R = 22.5-cm The pulley accelerates uniformly from rest to an angular speed of 25.8 rad/s in 4.92-s. If there is a frictional torque = 1.31-mN at the axle, (a) determine the moment of inertia of the pulley, (b) determine the rough estimate of the moment of inertia. (The pulley rotates about its center) What is the difference be (a) and (b)? (5) identical 18.1-gram masses are 10.7-cm from an axis of rotation and rotating at 102-revolutions per minute. What is the moment of inertia of the 5-object system? (The strings holding the masses are of negligible mass) (5) identical 23.3-gram masses are 8.1-cm from an axis of rotation and rotating at 127-revolutions per minute. What is the Rotational Kinetic Energy? (The strings holding the masses are of negligible mass) What will be the speed of a solid sphere of mass 8.03-kg and radius 12.4-cm when it reaches the bottom of an incline if it…Find the angular displacement in radians during the second 20-s interval of a wheel that accelerates from rest to 725 revolutions per minutes in 1.50 minutes.
- A solid ssphere of radius 25cm & mass 25kg ro fater about an axis through its center. Calculate its moment of inertia of its angulal velocity changes from 2 rad/s to 12 rads in 5 second. Also calculate torque applied?(a) The angle through which a rotating wheel has turned in time t is given by e(t) = 3.0t* +5.0t-7.0t where & is in radians and t in seconds. Calculate the (@) average angular acceleration between t-2.0 s and t-4.0 s (1) instantaneous angular velocity at t= 3.0 s, and (ii) 11 mstantaneous angular acceleration at t= 3.0 s.Suppose you exert a force of 202 N tangential to a grindstone (a solid disk) with a radius of 0.218 m and a mass of 80.4 kg What is the resulting angular acceleration of the grindstone assuming negligible opposing friction?
- A bullet is fired at an angle of 60° to the horizontal with an inital velocity of 200m/s. How long is the bulletin the air?A 1.4-kg grindstone in the shape of a uniform cylinder of radius 0.20 m acquires a rotational rate of 21 rev/s from rest over a 6.0-s interval at constant angular acceleration. Calculate the torque delivered by the motor. Express your answer using two significant figures and include the appropriate units.