a lawnmower blade has a diameter of 36 inches and spins at a rate of 60 revolutions per minute. what is the…

a lawnmower blade has a diameter of 36 inches and spins at a rate of 60 revolutions per minute. what is the linear velocity, in inches per minute, at the end of the blade?\n120π\n720π\n2,160π\n4,320π

a lawnmower blade has a diameter of 36 inches and spins at a rate of 60 revolutions per minute. what is the linear velocity, in inches per minute, at the end of the blade?\n120π\n720π\n2,160π\n4,320π

Answer

Explanation:

Step1: Calculate the circumference of the circle

The formula for the circumference of a circle is (C = \pi d). Given (d = 36) inches, so (C=\pi\times36 = 36\pi) inches.

Step2: Calculate the linear velocity

The blade spins at (n = 60) revolutions per minute. The linear velocity (v) is the product of the number of revolutions per minute and the circumference. So (v=n\times C). Substitute (n = 60) and (C = 36\pi) into the formula: (v=60\times36\pi). [v = 2160\pi]

Answer:

(2160\pi) (the third option)