Suppose that Venus rotates on its axis once every 243 days T

Suppose that Venus rotates on its axis once every 243 days. The equator lies on a circle with a diameter of 7520 mile (a) Find the angular speed of a point on its equator in radians per year (365 days). (b) Find the linear speed of a point on the equator in miles per year. Do not round any intermediate computations, and round your answer to the nearest whole number.

Solution

Solution:

Total angle covered in every 243 days in 2 ( Because it rotate once in year T = 243 )

thus angular velocity w = 2 /243 = 0.0258 rad/days

Linear velocity = V = w *r

w = angular speed

r = radius = 7520 /2 = 3760 miles

Linear velocity = V = w *r =0.0258 * 3760= 97.008 mils/day