Solve the problem.
-An object is traveling around a circle with a radius of 10 centimeters. If in 20 seconds a central angle of $\frac { 1 } { 3 }$ radian is swept out, what is the linear speed of the object?
A) $\frac { 1 } { 6 }$ radians/sec
B) $6 \mathrm {~cm} / \mathrm { sec }$
C) 6 radians/sec
D) $\frac { 1 } { 6 } \mathrm {~cm} / \mathrm { sec }$

Question

Quizplus · Accepted Answer

The linear speed $v$ is given by $v = r\omega$, where $r$ is the radius and $\omega$ is the angular speed. Here, $\omega = \frac{\frac{1}{3} \text{ radians}}{20 \text{ seconds}} = \frac{1}{60} \text{ radians/sec}$. Thus, $v = 10 \text{ cm} \times \frac{1}{60} \text{ radians/sec} = \frac{1}{6} \text{ cm/sec}$.

Solve the Problem 13\frac { 1 } { 3 }31​ Radian Is Swept Out, What Is the Linear Speed of with a Radius

Solve the Problem $\frac { 1 } { 3 }$ Radian Is Swept Out, What Is the Linear Speed of with a Radius