The wheel of a vehicle revolves at a rate of 500 times per minute. If the velocity of the vehicle be 6 km and 6 hemi per hour, then find the diameter of the wheel.

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

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.

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

The time required by a motor car to travel a cartain distance is 3 hours less if its velocity be increased by 9 kilometres per hour. Again ,if the velocity be decreased by 6 kilometres per hour , then the time required by the car to travel the same distance is 3 hours more. Find the velocity of the car and the certain distance.

A man running along a circular track at the rate of 10 mile per hour traverses in 36 seconds an arc which subtends 56^@ at the centre. Find the diameter of the circle.

The cost of fuel of an engine varies as the square of its velocity and the cost of fuel is ₹ 48 per hour when the velocity is 16 km per hour. If other expenses be ₹ 300 per hour, then show that the most economical velocity for a journey of a given distance is 40 km per hour.

A passenger in a train found that the train took 15 sec. to pass the platform. If the speed of train is 60 km. per hours, let us find the length of the platform.