Acar is moving at a rate of 28 mph, and the diameter of the wheel is about 2 1/3 feet. a) find the number of revolutions per minute the wheels are moving b) find the angular speed of the wheels in radians per minute

Step-by-step explanation:

Givens:

When we talk about revolutions per minute, we refer to frequency, which is the inverse magnitude of period which is the time that takes doing one revolution. Another way to answer this question it's by transforming 28mph to rpm, but to do that we first have to find the angular speed.

But, we need to divide this angular speed by 60, to transform it to minutes.

Which is the answer of the second questions.

Now, we transform this angular speed to rpm, to now how much revolutions per minutes there are:

We know that 1 revolution per minute is equal to 6.28 radians per minute, using this, we transform:

Therefore, the wheel makes 336.25 revolutions per minute, and its angular speed is 2111.67 rad/min.