A lunar research outpost relies on a simple pendulum as a low-tech timing device
PHYSICS · Multi-part · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics
Problem
A lunar research outpost relies on a simple pendulum as a low-tech timing device. For certain scientific procedures, technicians require a timing interval corresponding to a pendulum period of exactly 4.00s.
(a) Determine the length the pendulum must have to achieve a 4.00s period on Earth, where the local gravitational field is 9.80m/s2.
(b) The same timing requirement must be met at the outpost on the Moon, where the gravitational field is 1.62m/s2. Calculate the length needed there.
(c) Compare the two lengths you obtained. Using numerical results, explain the practical challenges technicians might face when constructing the lunar pendulum.
(d) Suppose the technicians keep the Earth-length pendulum found in part (a) but operate it on the Moon. Calculate its period on the Moon and comment on whether it meets the required 4.00s timing specification.