The radius of the wheel of a train is 0.35 m. If the wheel rounds 450 times in one minute, then find the velocity of the train per hour.

A wheel is rotating 300 times per minute. The angular velocity of the wheel in rad cdot s^(-1) unit is

If wheel revolves 120 times per minute then its angular velocity in rad cdot s^(-1) unit is

The radius of the front wheel of an engine is 35 cm and the radius of its behind wheel is 84 cm. How many more revolutions will revolve the front than the behind wheel to travel a distance of 600 m ?

A cord of negligible mass is wound round the rim of a flywheel of mass 20 kg and radius 20 cm. A steady pull of 25 N is applied on the cord. The flywheel is mounted on a horizontal axis with frictionless bearings Find the kinetic energy of the wheel at this point when 2m of the cord is unwound. Assume that wheel starts from rest.

The distance between two station is d km. A train went the second station from the first station with uniform velocity. If the velocity of the train would be a km more, then the time taken by the train would be t hours lesser than before.

A train moving with a constant acceleration crosses an observer standing on the platform. The first and the second compartments, each 15 m long cross the observer in 2s and 2.5 s, respectively. Find the velocity of the train when its first compartment just crosses the observer and also find its acceleration.

A gun is mounted on a platform fitted with frictionless wheels. The mass of the plarform with the gun, shells and the operator is M. The gun fires shells one after another with a velocity v in the horizontal direction. If mass of each shell is m. show that the velocity of recoil of the platform after N shells are fired, is V_(N) = (Nmv)/((M - mN)) .