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.