A point starts at the location (3, 0) and travels CCW along a circular path centered at the location (0, 0). (Draw a điagram of this!) Imagine an angle with the initial ray pointing in the 3 o'clock position with a terminal ray passing through the point. The point moves at a constant speed, and the angle sweeps out 2 radians per second. Let t represent the number of seconds since the point started moving. a. Write an expression (in terms of t) to represent the number of radians the angle has swept out since the point started moving. Preview b. Write a formula that expresses the z-coordinate of the point in terms of the number of seconds t since the point started moving. (Hint: what is the radius of the circular path?) Preview c. How long does it take the point to complete one full rotation? seconds Preview d. Sketch a graph relating z to t. (Represent t on the horizontal axis and z on the vertical axis.) 2 2 302 27 -2- -3 4 -5 Clear All Draw:
A point starts at the location (3, 0) and travels CCW along a circular path centered at the location (0, 0). (Draw a điagram of this!) Imagine an angle with the initial ray pointing in the 3 o'clock position with a terminal ray passing through the point. The point moves at a constant speed, and the angle sweeps out 2 radians per second. Let t represent the number of seconds since the point started moving. a. Write an expression (in terms of t) to represent the number of radians the angle has swept out since the point started moving. Preview b. Write a formula that expresses the z-coordinate of the point in terms of the number of seconds t since the point started moving. (Hint: what is the radius of the circular path?) Preview c. How long does it take the point to complete one full rotation? seconds Preview d. Sketch a graph relating z to t. (Represent t on the horizontal axis and z on the vertical axis.) 2 2 302 27 -2- -3 4 -5 Clear All Draw:
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 44P: A chameleon is resting quietly on a lanai screen, waiting for an insect to come by. Assume the...
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