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The end of a pendulum with a length of 21 cm travels an arc length of 24 cm. How many degrees does the pendulum swing?

2 Answers

2 votes

Answer:

65.48 degrees

Explanation:

User Cppguy
by
6.0k points
5 votes

It is given in the question that the end of a pendulum with a length of 21 cm travels an arc length of 24 cm.

So here radius is 21 cm and the arc length is 24 cm .

Now we use the arc length formula , which is


s = r* \theta

Where s is the arc length and r is the radius.

Substituting these values, we will get


24 = 21 \theta \\ \theta = (24)/(21) \\ \theta = 1.143 radians

And now we need to convert radian to degree, and for that we have to multiply by
(180)/( \pi)

That is


1.143 * (180)/( \pi) =65.48 degree

User SangamAngre
by
6.2k points