At the local swimming hole, a favorite trick is to run horizontally off a cliff that is 7.4 m above the water. One diver runs off the edge of the cliff, tucks into a "ball," and rotates on the way down with an average angular speed of 1.6 rev/s. Ignore air resistance and determine the number of revolutions she makes while on the way down.

Multiply the average angular speed, which is 1.6 rev/s rev/s, by the number of seconds that it takes to fall vertically 7.4 meters.

t = sqrt(2H/g) = 1.23 seconds

About 2 revolutions is the answer.

To determine the number of revolutions the diver makes while on the way down, we need to find the time it takes for the diver to reach the water.

To find the time of descent, we can use the equation:
y = (1/2)gt^2
where:
- y is the vertical distance (7.4 m)
- g is the acceleration due to gravity (-9.8 m/s^2)
- t is the time of descent

Rearranging the equation, we get:
t = sqrt(2y/g)

Substituting the given values:
t = sqrt(2 * 7.4 m / 9.8 m/s^2)
t = sqrt(1.5)
t ≈ 1.22 s

Now that we have the time of descent, we can find the number of revolutions using the average angular speed.

The number of revolutions is given by the equation:
revolutions = angular speed * time

Substituting the given values:
revolutions = 1.6 rev/s * 1.22 s
revolutions ≈ 1.95 revolutions

Therefore, the diver makes approximately 1.95 revolutions while on the way down.