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- As shown in the figure below, wheel A has a radius of 10 cm and is attached by a belt to to wheel C which has a radius of 25 cm. The angular speed of wheel A is increased from rest at a constant rate of 1.1 rad/s2(α). Determine the the time needed for wheel C to reach an angular speed of 100 rev/min assuming the belt does not slip. The linear velocity of the belt must be the same so αArA=αCrC. The relationship between angular acceleration and angular speed is ω=αt. 2pi rad = 1 rev. Don't forget to convert to consistent units.A compact disk starts from rest and accelerates to its final angular velocity of 3.50 rev/s in 1.50 s. Find the disc's average angular acceleration in revolutions per second squared and in radians per second squared.Masses m1= 8.0 kg and m2= 2.0 kg are attached at the ends of a massless rod 2.00 meters long, mounted to spin around a point 50.0 cm from one end. Calculate the rotational inertia around the mount point.
- In the figure below, wheel A of radius A = 14 cm is coupled by belt B to wheel C of radius c 20 cm. The angular speed of wheel A is increased from rest at a constant rate of 1.6 rad/s². Find the time needed for wheel C to reach an angular speed of 150 rev/min, assuming the belt does not slip. S B C TGSuppose you exert a force of 172 N tangential to a 0.295 m radius 75.0 kg grindstone (a solid disk). (Give your answers to at least 2 decimal places.) (a) What torque (in N · m) is exerted? (Enter the magnitude.) N. m (b) What is the angular acceleration (in rad/s2) assuming negligible opposing friction? (Enter the magnitude.) |rad/s? (c) What is the angular acceleration (in rad/s?) if there is an opposing frictional force of 22.6 N exerted 1.75 cm from the axis? (Enter the magnitude.) |rad/s?Suppose you exert a force of 172 N tangential to a 0.295 m radius 75.0 kg grindstone (a solid disk). (Give your answers to at least 2 decimal places.) (a) What torque (in N · m) is exerted? (Enter the magnitude.) 50.74 N. m (b) What is the angular acceleration (in rad/s?) assuming negligible opposing friction? (Enter the magnitude.) 15.55 rad/s? (c) What is the angular acceleration (in rad/s?) if there is an opposing frictional force of 22.6 N exerted 1.75 cm from the axis? (Enter the magnitude.) 15.44 ]× rad/s²
- The ball has a mass of 1 kg and is confined to move along the smooth vertical slot due to the rotation of the smooth arm OA. The rod is rotating with a constant angular velocityd slot at any instant. Which one of the following is (are ) incorrect answers ? =2 rad/s. Assume the ball contacts only one side of the ion e-2 rads Select one or more: There is only one contact force on the ball that is acting perpendicular to the rod. There are two contact forces on the ball: one is acting perpendicular to the wall, and the other is perpendicular to the rod. The path of the ball is given by r 0.5 sec 0. The acceleration along the 0 increasing direction is a, tan 6 sec 00 The normal reaction to the ball by the rod is given by the equation N gcos+ a, whiere ap s the acceleration along the 6 increasing direction.Plz help.A uniform solid sphere of mass 6.0 kg and radius 10 cm is rolling without slipping along a horizontal surface with a speed of 4.9 m/s (this is the speed of the center of mass) when it starts up a ramp that makes an angle of 30° with the horizontal. 1st а) b) While the ball is moving up the ramp, find What is the maximum distance it can go up the ramp, measured along the surface of the ramp? 2nd? the acceleration (magnitude and direction) of its center of mass and i) ii) | 3rd 3] the friction force (magnitude and direction) acting on it due to the surface of the ramp. Moment of inertia of a solid sphere is I em =MR². ст