91Ó°ÊÓ

Assume that a particle moves along a circle of radius \(r\) for a period of time \(t\). Given either the arc length \(s\) or the central angle \(\theta\) swept out by the particle, find the linear and angular speed of the particle. \(r=7 \mathrm{~m}, t=3.2\) sec, \(\theta=172^{\circ}\)

Convert the given angle to radians. \(130^{\circ}\)

A central angle in a circle of radius \(2 \mathrm{~cm}\) cuts off an arc of length \(4.6 \mathrm{~cm}\). What is the measure of the angle in radians? What is the measure of the angle in degrees?

Assume that a particle moves along a circle of radius \(r\) for a period of time \(t\). Given either the arc length \(s\) or the central angle \(\theta\) swept out by the particle, find the linear and angular speed of the particle. \(r=1 \mathrm{~m}, t=1.6\) sec, \(s=3 \mathrm{~m}\)

Convert the given angle to radians. \(275^{\circ}\)

Convert the given angle to radians. \(-108^{\circ}\)

Assume that a particle moves along a circle of radius \(r\) for a period of time \(t\). Given either the arc length \(s\) or the central angle \(\theta\) swept out by the particle, find the linear and angular speed of the particle. \(r=2 \mathrm{~m}, t=1.6\) sec, \(s=6 \mathrm{~m}\)

Convert the given angle to degrees. 4 rad

Assume that a particle moves along a circle of radius \(r\) for a period of time \(t\). Given either the arc length \(s\) or the central angle \(\theta\) swept out by the particle, find the linear and angular speed of the particle. \(r=1.5 \mathrm{ft}, t=0.3\) sec, \(s=4\) in

An object moves at a constant linear speed of \(6 \mathrm{~m} / \mathrm{sec}\) around a circle of radius \(3.2 \mathrm{~m}\). How large of a central angle does it sweep out in \(1.8\) seconds?