SOLUTION: A pendulum in a grandfather clock is 4 feet long and swings back and forth along a 6-inch arc. Approximate the angle in degrees through which the pendulum passes during one swing.
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Question 405665: A pendulum in a grandfather clock is 4 feet long and swings back and forth along a 6-inch arc. Approximate the angle in degrees through which the pendulum passes during one swing. Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! A pendulum in a grandfather clock is 4 feet long and swings back and forth along a 6-inch arc. Approximate the angle in degrees through which the pendulum passes during one swing.
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In trigonometry there is a formula called the arc length formula.
It says, in a circle, the arc length determined by the central angle of radian measure. The radius in the given problem is 4 ft and the arc length is 6 inches.
The angle in radians = arc length/radius=6 inches/48 inches=1/8 radian
Converting to degrees,1/8 radian*180 degree/pi radian=180/8(3.14)=7.17 deg
ans:For one swing the pendulum passes thru 7.17 degrees
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