Question

a ladybug is clinging to the outer edge of a childs spinning disk. the disk is 10 inches in diameter and is spinning at 30 revolutions per minute. how fast is the ladybug traveling? round your answer to the nearest integer. in./min

Explanation:

Step1: Calculate the circumference of the disk

The formula for the circumference of a circle is \(C = \pi d\). Given \(d = 10\) inches, so \(C=\pi\times10 = 10\pi\) inches.

Step2: Calculate the speed of the ladybug

The disk spins at 30 revolutions per minute. The distance traveled per minute is the number of revolutions times the circumference. So the speed \(v=30\times C\). Substitute \(C = 10\pi\) into the formula: \(v = 30\times10\pi=300\pi\).
Using \(\pi\approx3.14\), we have \(v\approx300\times3.14 = 942\) in./min.

Answer:

942