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
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.
Chapter7: Gravity
Section: Chapter Questions
Problem 47PQ
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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)?
s
B-What is the corral's circumference (in m)?
m
C-What is the horse's average speed (in m/s)?
m/s
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