the angular speed of a point on earth is pi12 radian per hou

the angular speed of a point on earth is pi/12 radian per hour l. the equator lies on a circle of radius approximately 4000 miles. find the linear velocity, in miles per hour, of a point on the equator

Solution

Given, the angular speed of a point on earth is pi/12 rad/hour

equator lies on a circle of radius approximately 4000 miles

1 rad/hr = 4000 miles/hr on equator

pi/12 rad/hr = (pi/12) * 4000 = 1046.667 miles/hr = 1047 miles/hr