Question

A pendulum on a grandfather clock swings side to side once every second. If the length of the pendulum is 8ft and the angle is 20 degrees, how far does it travel in 1 second?

Answer 1

Explanation:

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Answer 2

73.66 miles per hour

or if 40 degree whole swing of pendulum then ;

147.33 miles per hour.

Divide by 3600 for p/second

Explanation:

sin x = opp /hyp = 8 x sin (20) = 1.113384808 = 1.11ft

1.1ft p/s

5290 feet in every mile

5290/1.113384808 = 4751.27733 feet

3500 seconds in an hour

3500/4751.27733 x 100 = 73.6644013 m/ph

Scenario 2

or 2.2 feet per second depending on whether the angle from central each side is 20 degrees = 1.1 x 2 = 2.2 feet.

5290/2.22676962 =2375.63866

3500 seconds in an hour

3500/2375.63866 x 100 = 147.328803 m/ph