AP Rotational Kinematics

A disk rotates with an angular speed  $\omega$  . What is the linear speed v of a point on the disk located a distance r away from the axis of rotation?

•  $\omega r$  

•  $\frac{\omega}{r}$  

•  $\frac{r}{\omega}$  

•  $\omega^2r$  

Suppose a bicycle wheel of radius R rolls without slipping for a linear distance x. What is the angular displacement the bicycle wheel during this movement?

• $\theta=\frac{x}{r}$

• $\theta=\frac{r}{x}$

• $\theta=xr$

• $\theta=xr^2$

A mass is hung from a string that is wrapped around a wheel of known radius R on a rotational apparatus. The system is released from rest, and the mass accelerates towards the ground. A physics student measures the distance the mass falls as well as the time, and they calculate the acceleration of the mass as a.

What equation would allow the student to determine the angular acceleration of the apparatus as the mass falls with the given information?

•  $a=\alpha R$  

•  $\omega=\omega_0+\alpha t$  

•  $\alpha=\frac{\sum_{ }^{ }\tau}{I}$  

•  $\omega^2=\omega_0^2+2\alpha\Delta\theta$  

Tags

NGSS.HS-PS2-1

What does the slope of a  $\theta$  vs t graph represent?

• The angular acceleration ( $\alpha$  )

• The angular velocity ( $\omega$  )

• The angular displacement ( $\Delta\theta$  )

• The torque ( $\tau$  )

What does the slope of a  $\omega$  vs t graph represent?

• The angular acceleration ( $\alpha$  )

• The angular velocity ( $\omega$  )

• The angular displacement ( $\Delta\theta$  )

• The torque ( $\tau$  )

What does the area of a  $\omega$  vs t graph represent?

• The angular acceleration ( $\alpha$  )

• The angular velocity ( $\omega$  )

• The angular displacement ( $\Delta\theta$  )

• The torque ( $\tau$  )

What does the area of a  $\alpha$  vs t graph represent?

• The angular acceleration ( $\alpha$  )

• The change in angular velocity ( $\Delta\omega$  )

• The angular displacement ( $\Delta\theta$  )

• The torque ( $\tau$  )

If the translational velocity of an object is 3 m/s, and is located a distance of 2 m from the axis of rotation, what is the object's angular velocity?

• 0.67 rad/s
• 1.5 rad/s
• 5 rad/s
• 6 rad/s

The angle through which a point, line, or body is rotated in a specific direction and around a specific axis •

• angular velocity

• angular displacement

• radian

• degree

A fan spins with a constant angular speed of 500 radians/second. How long will it take to cover an angle of 2π radians (one revolution)?

• 0.013 s
• 0.002 s
• 76.9 s
• 6.28 s