?As a point P moves around a circle, the measure of the angle changes. The measure of

Chapter 1, Problem 175

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As a point P moves around a circle, the measure of the angle changes. The measure of how fast the angle is changing is called angular speed, ω, and is given by \(\omega=\theta / t\), where \(\theta\) is in radians and t is time. Find the angular speed for the given data. Round to the nearest thousandth.

a. \(\theta=\frac{7 \pi}{4} \mathrm{rad}\), t = 10 sec

b. \(\theta=\frac{3 \pi}{5} \mathrm{rad}\), t = 8 sec

c. \(\theta=\frac{2 \pi}{9} \mathrm{rad}\), t = 1 min

d. \(\theta\) = 23.76rad,t = 14 min

Text Transcription:

Theta = 7pi/4 rad

theta= 3pi/5 rad

theta=2pi/9 rad

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