A point starts at a location on the x-axis and travels CCW around a circle that is centered at (0,0) at a constant angular speed. The function f(t)=24⋅sin(5t) gives the point's y-coordinate in terms of the number of seconds t since the point started moving.

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Chapter12: Rotation I: Kinematics And Dynamics
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Problem 64PQ: A potters wheel rotates with an angular acceleration = 4at3 3bt2, where t is the time in seconds, a...
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A point starts at a location on the x-axis and travels CCW around a circle that is centered at (0,0) at a constant angular speed. The function f(t)=24⋅sin(5t) gives the point's y-coordinate in terms of the number of seconds t since the point started moving.

A point starts at a location on the x-axis and travels CCW around a circle that is centered at (0, 0) at a constant angular speed. The function
f(t) :
24 · sin(5t) gives the point's y-coordinate in terms of the number of seconds t since the point started moving.
For each quantity below, determine which expression represents that quantity's value.
The period of the graph of f.
а. 24
O How many radians the point has swept out t seconds after it started moving.
b. sin(5t)
O The radius of the circle that the point moves along.
с. 5t
O How long it takes the point to complete one full lap around the circle.
d.
5
O How many radians the point sweeps out per second.
е. 5
The amplitude of the graph of f.
Transcribed Image Text:A point starts at a location on the x-axis and travels CCW around a circle that is centered at (0, 0) at a constant angular speed. The function f(t) : 24 · sin(5t) gives the point's y-coordinate in terms of the number of seconds t since the point started moving. For each quantity below, determine which expression represents that quantity's value. The period of the graph of f. а. 24 O How many radians the point has swept out t seconds after it started moving. b. sin(5t) O The radius of the circle that the point moves along. с. 5t O How long it takes the point to complete one full lap around the circle. d. 5 O How many radians the point sweeps out per second. е. 5 The amplitude of the graph of f.
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