3- (a) what is the period of rotation of earth in seconds? (b) what is the angular velocity of earth? (c) given that earth has a radius of 40,075 km at its equator, what is the linear velocity at earth’s surface?

Explanation:

a) The Earth makes 1 rotation in 24 hours.  In seconds:

24 hr × (3600 s / hr) = 86400 s

b) 1 rotation is 2π radians.  So the angular velocity is:

2π rad / 86400 s = 7.27×10⁻⁵ rad/s

c) The earth's linear velocity is the angular velocity times the radius:

40075 km × 7.27×10⁻⁵ rad/s = 2.91 km/s

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