Final answer:
A pendulum clock on Mars will run at a rate where the minute hand takes approximately 20.43 minutes to make one revolution.
Step-by-step explanation:
A pendulum clock runs based on the length of its pendulum and the acceleration due to gravity. The formula for the period of a pendulum is T = 2π√(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity. To find the rate at which the pendulum clock runs on Mars, where the acceleration due to gravity is 3.73 m/s², we can use the formula and compare it to the rate on Earth.
Let's assume the pendulum clock on Earth takes one hour for the minute hand to make one revolution. In this case, the period would be 60 minutes.
Using the formula, we can rearrange it to solve for L:
L = (T/2π)² * g
Substituting the known values, we get:
L = (60/2π)² * 9.8 ≈ 0.994 meters
Now we can calculate the period on Mars:
T = 2π√(L/g) = 2π√(0.994/3.73) ≈ 20.43 minutes
Therefore, on Mars, it would take approximately 20.43 minutes for the pendulum clock's minute hand to make one revolution.