Uniform circular motion involves three key variables: the moving object's speed, the size of the circle, and the time it takes to go around once. A circle's circumference equals its radius multiplied by 2?. The time it takes to complete one full circular "orbit" is called the period. Examples: The period of Earth's orbit around the Sun is about 365 days, and the period of the Moon's orbit around the Earth is roughly 28 days. A circle has the following labels. The label circumference is on the outside of the circle. A dot at the center of the circle is labeled center. A line extending from the center to the edge of the circle is labeled radius. A line extending from one side of the circle, through the radius, and to the other side of the circle is labeled diameter. The following equations are next to the circle: diameter = 2 ✕ radius d = 2r circumference = ? ✕ diameter circumference = 2? ✕ radius c = ?d c = 2?r Let's put these ideas to work. Suppose it takes a horse 20.0 seconds to trot one complete circuit along the edge of a corral that is 15.0 meters in diameter. A-What is the period of the horse's "orbit" (in s)? s B-What is the corral's circumference (in m)? m C-What is the horse's average speed (in m/s)? m/s

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter16: Oscillations

Section: Chapter Questions

Problem 14PQ: When the Earth passes a planet such as Mars, the planet appears to move backward for a time, a...

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Uniform circular motion involves three key variables: the moving object's speed, the size of the circle, and the time it takes to go around once.

A circle's circumference equals its radius multiplied by 2?.

The time it takes to complete one full circular "orbit" is called the period. Examples: The period of Earth's orbit around the Sun is about 365 days, and the period of the Moon's orbit around the Earth is roughly 28 days.

A circle has the following labels. The label circumference is on the outside of the circle. A dot at the center of the circle is labeled center. A line extending from the center to the edge of the circle is labeled radius. A line extending from one side of the circle, through the radius, and to the other side of the circle is labeled diameter. The following equations are next to the circle:

diameter = 2 ✕ radius
d = 2r
circumference = ? ✕ diameter
circumference = 2? ✕ radius
c = ?d
c = 2?r

Let's put these ideas to work. Suppose it takes a horse 20.0 seconds to trot one complete circuit along the edge of a corral that is 15.0 meters in diameter.

A-What is the period of the horse's "orbit" (in s)?

B-What is the corral's circumference (in m)?

C-What is the horse's average speed (in m/s)?

m/s

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