QUESTION 1 [13]
Suppose that due to a gravitational torque exerted by the Moonon the Earth, our planet's rotation slows at a rate of 1.30ms/century (see picture below). Show the full calculations,including the conversions. Do not round up in intermediatecalculations.
HINT: You will need to use basic definitions of: alpha, ??, ??,and ?t to crack the problem.
(a) Calculate the Earth's angular acceleration due to thiseffect. (8)
(b) Calculate the torque exerted by the Moon on the Earth.(3)
(c) Calculate the length of the wrench / spanner an ordinaryperson would need to exert such a torque, as in the figure above.Assume the person can brace his feet against a solid firmament andexert a 850 N force. (2)
