Question

Wheel with radius 3 m rolls at 18 rad/s. How fast is a point on the rim of the wheel rising when the point isπ/3 radians above the horizontal and rising? round to one decimal.

Answer 1

The point is rising at a speed of 27 m/s.

Explanation:

The rim is represented in the figure that is attached

The tangential speed of the point on the rim is given by

`V_(t)=\omega r`

Applying values we get

`V_(t)=18rad/sec* 3=54m/s`

Resolving the speed along the x and y axis as shown in the figure we get

`V_(y)=V_(t)cos(\theta )\\\\\therefore V_(y)=54cos((\pi )/(3))\\\\V_(y)=27m/s`