SOLUTION: Please help me solve this word problem... 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

Question 402881: Please help me solve this word problem...
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.
Thank You!!!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The formula for the length of the arc 's' given a radius 'r' and and angle 'x' is Note: x is in radians

In your case, (I'm converting to feet) since it moves along a path that's half a foot long. So

Also, we're given that the pendulum is 4 ft long. So

Plug all of this into the formula above to get and solve for x to get

So the angle is of a radian. Now convert this to degrees to get (which is approximate)

So the angle in degrees is about 7.16 degrees
RELATED QUESTIONS
A pendulum in a grandfather clock is 4 feet long and swings back and forth along a 6-inch (answered by lwsshak3)

A pendulum in a grandfather clock is 8 feet long and swings back and forth along a 9-inch (answered by LinnW)

I am completely lost on this one,I know how to do the equations except for when it comes... (answered by mananth)

I need help find the answer to this problem: "The time that a pendulum of a grandfather... (answered by nerdybill,richwmiller)

When a pendulum that is 0.5m long swings back and forth, its angular displacement, theta... (answered by htmentor)

Find the distance traveled in one back and forth swing by the weight of a 12in pendulum... (answered by Alan3354)

Please help me with my homework. 1. A 40 cm pendulum swings through an angle of 15... (answered by stanbon)

There are 3 pendulums in the science lab room. The first pendulum swings back and forth... (answered by ikleyn)

A pendulum bob swings through an arc 70 inches long on its first swing. Each swing,... (answered by adamchapman)