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Question

Question:

The pendulum on a clock swings through an angle of 1 radian, and the tip sweeps out an arc of 12 inches. How long is the pendulum?

Please show work.

Answer 1

Let r be the length of the pendulum.
12 = 1 rad * r
Solve for r,
r = 12 inches.

Answer 2

using the formula that gives the length of an arc for a given radious and angle we have:

s = rΘ,
where s is arc length, Θ is angle in radians and r is radius which is pendulum size in this case.

12 = 1r
r = 12

the pendulum is 12 inches.

Answer 3

Go back and read the geometric definition of what a radian is. (HINT: 2π radians make up the circumference of a circle)

And **KEEP** reading it over and over and over until you notice how it relates to the problem you are trying to solve.

HTH

Doug