Systems of Part...

The wheel of a car is rotating at the rate of 1200 revolutions per minute. On pressing the accelerator for 10 seconds. It starts rotating at 4500 revolutions per minute. The angular acceleration of the wheel is

A torque of 50 Nm acting on a wheel at rest rotates it through 200 radians in 5 sec. Calculate the angular acceleration produced

A wheel has a speed of 1200 revolutions per minute and is made to slow down at a rate of 4 radians/s². The number of revolutions it makes before coming to rest is

A wheel is rotating at 900 r.p.m. about its axis. When the power is cut–off, it comes to rest in 1 minute. The angular retardation in radian/s² is

In which case application of angular velocity is useful?

A wheel rotates with a constant acceleration of 2.0 radian/sec². If the wheel starts from rest the number of revolutions it makes in the first ten seconds will be approximately

Consider a disc rotating in the horizontal plane with a constant angular speed ω about its centre O. The disc has a shaded region on one side of the diameter and an unshaded region on the other side as shown in the figure. When the disc is in the orientation as shown, two pebbles P and Q are simultaneously projected at an angle towards R. The velocity of projection is in the y–z plane and is same for both pebbles with respect to the disc. Assume that (i) they land back on the disc before the disc has completed 1/8 rotation, (ii) their range is less than half the disc radius, and (iii) ω remains constant throughout. Then

If linear velocity is constant then angular velocity is proportional to

A uniform disk of mass M and radius R is mounted on a fixed horizontal axis. A block of mass m hangs from a mass less string that is wrapped around the rim of the disk. The magnitude of the acceleration of the falling block (m) is

Two discs of the same material and thickness have radii 0.2 m and 0.6 m. Their moments of inertia about their axes will be in the ratio