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

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) $\frac { 1 } { 6 } \mathrm {~cm} / \mathrm { sec }$

Quizplus · Accepted Answer

The linear speed $v$ of an object moving along a circular path is given by $v = r\omega$, where $r$ is the radius of the circle and $\omega$ is the angular speed in radians per second. The angular speed $\omega$ can be calculated as the angle in radians ($\frac{1}{3}$ radian) divided by the time (20 seconds), giving $\omega = \frac{1}{3} \div 20 = \frac{1}{60}$ radians per second. Therefore, the linear speed is $v = 10 \times \frac{1}{60} = \frac{1}{6}$ 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