A wheel with a 22 inch diameter is turning at the rate of 31 revolutions per minute. What is the

linear speed of a point on the rim, measured to the nearest inch per minute?

It said diameter = 22,

so radius is 11

I used 2πr = 2(11)π = 22π

To find the linear speed of a point on the rim, we need to calculate the distance traveled by that point in one minute.

The circumference of a circle can be calculated using the formula C = πd, where C is the circumference and d is the diameter.

In this case, the diameter of the wheel is 22 inches, so the circumference can be calculated as follows:

C = π * 22 inches

To find the distance traveled in one revolution, we need to divide the circumference by the number of revolutions per minute:

Distance traveled in one revolution = C = π * 22 inches

The linear speed of a point on the rim can then be found by multiplying the distance traveled in one revolution by the number of revolutions per minute:

Linear speed = Distance traveled in one revolution * Revolutions per minute

Substituting the values given:

Linear speed = π * 22 inches * 31 revolutions per minute

Calculating this expression will give you the linear speed of a point on the rim of the wheel, measured to the nearest inch per minute.

circumference = 2π(11) = 22π inches

so in 1 minute a point on the rim covers
31(22π) or appr 2142.566 inches

since linear velocity = distance/time
.......

your turn.

diameter = 11, not radius

Ouch - I must be going Blind!