An engineering firm is designing a ski lift. the wire rope needs to travel with a linear velocity of 2.0 meters per second, and the angular velocity of the bullwheel will be 10 revolutions per minute. what diameter bullwheel should be used to drive the wire rope?

The diameter of the bull-wheel is 3.82

Explanation:

Given that,

Velocity = 2.0 m/s

Angular velocity = 10 rev/m

We need to calculate the diameter of bull-wheel

Using formula of angular velocity

Put the value into the formula

The diameter of the bull-wheel

Hence, The diameter of the bull-wheel is 3.82 m.

here we know that ball will drop down by total distance 3.2 m

so here we know that

now using kinematics

now in the same time it will cover horizontal distance of 0.75 m

so speed of the ball will be