The pendulum on a grandfather clock swings from side to side once every second. If the length of the pendulum is 7 feet and the angle through which it swings is 20°, how far does the tip of the pendulum travel in 1 second?

Since the pendulum moves from side to side in 1 sec, the length of the arc covered by the pendulum in an oscillation will be the length travelled in 1 sec

From trigonometry, we know the relation:

Θ(in radians) = l / r (where r is the length of the pendulum and l is the length of arc travelled)

But first, we need to convert 20 degrees to radians

20 degrees = π/9 radians

r = 7 feet

Now, plugging these values in the equation:

π / 9 = l / 7

l = 7π / 9 feet

l = 2.44 feet (approx)

location: point 0

step-by-step explanation:

well, -8 to 10 on a number line is 18 spaces.

1/9 of 18 is 2.

so, 4/9 of 18 must be 8.

8 spaces from -8 (a) is 0.

so, 4/9 of the way from -8 to 10 is 0!

answer:

your answer is: c. 196 7/8 in^3.