   Chapter 7, Problem 52AP

Chapter
Section
Textbook Problem

The dung beetle is known as one of the strongest animals for its size, often forming balls of dung up to 10 times their own mass and rolling them to locations where they can be buried and stored as food. A typical dung ball formed by the species K. nigroaeneus has a radius of 2.00 cm and is rolled by the beetle at 6.25 cm/s. (a) What is the rolling ball’s angular speed? (b) How many full rotations are required if the beetle rolls the ball a distance of 1.00 m?

(a)

To determine
The angular speed of the rolling ball.

Explanation

Given info: The radius of the dung ball is 2.00cm and the linear speed of the ball is 6.25cm/s .

Explanation:

The formula for the angular speed of the rolling ball is,

ω=vr

• v is linear speed of the ball.
• r is radius of the ball.

Substitute 6.25cm/s for v and 2.00cm for r to find ω

(b)

To determine
The required full rotations if the beetle rolls the ball a distance of 1.00m .

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