Free Printable Rotational Dynamics and Equilibrium

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Rotational Dynamics and Equilibrium

Total questions: 20

Worksheet time: 38mins

Name

Class

Date

What does the symbol Δω mean?

angular acceleration

angular velocity

change in angular acceleration

change in angular velocity

Does a bridge anchored resting on two pillars have any torque?

Yes, but it will soon break because of the torque

No, it isn't moving

No, Bridges can't have torque

Yes, but it is at equilibrium

A person stands a distance $\overrightarrow{r}$ from a door’s hinges and pushes with a force $\overrightarrow{F}$ directed perpendicular to its surface, rotating the door at its hinge with a torque $\tau$ . What is the applied torque if the person’s position and force change to $\overrightarrow{2r}$ and $\overrightarrow{2F}$ , respectively?

$\tau$

$2\tau$

$4\tau$

$\frac{\tau}{4}$

Signs are suspended from rods of equal length on the side of a building. For each case, the mass of the rod can be ignored. The mass of the sign is given in each figure. Which case has the greatest magnitude of the torque that the sign exerts about the point at which the rod is attached to the side of the building.

A 2-m long massless rod supports a 12-Newton weight. The left end of each rod is held in place by a frictionless pin. In each case, a vertical force F is holding the rods and the weights at rest. The rods are marked at half-meter

intervals. Which case has a force F with the greatest magnitude?

Torques cause changes in _______.

velocity

moment of inertia

lever arm

angular velocity

The lever arm is the ________ distance from the axis of rotation to the point where the force is exerted.

angular

displaced

perpendicular

none of these

What is the point at which all of the mass of the body and be considered to be concentrated?

Center of Mass

Moment of Inertia

Rotational Equilibrium

Torque

An ice skater is spinning in a circle with his arms extended out. He then brings his arms in, what happens to his rotational velocity?

It increases

It decreases

It stays the same

He stops spinning immediately

10.

A 800N man is playing on a seesaw with son who has a weight of 200N. If the child is sitting 3 meters away, how far will the man have to sit to balance the seesaw?

0.75m

1.5m

11.

What force does not cause any torque?

Force perpendicular to the fulcrum.

Force horizontal to the planck.

Force slightly off center of the fulcrum

Forces at a 45 degree angle to the fulcrum, and not on the fulcrum

12.

If the torque required to loosen a nut on the wheel of a car has a magnitude of 60.0 N• m, what minimum perpendicular force must be exerted by a mechanic at the end of a 45.0 cm wrench to loosen the nut?

.666 Nm

133.3 N

66.7 N

13.3 Nm

13.

What is the Unit for Torque

14.

The number of complete revolutions per second is:

frequency

period

torque

rotational inertia

15.

The time required for one complete revolution is:

torque

frequency

period

rotational kinetic energy

16.

If the radius of the string is .3 meters long and the stopper makes 5 revolutions per second, what is the speed of the stopper? (T = period = time for ONE revolution, not 5)

9.4 m/s

6.8 m/s

11.7 m/s

3.5 m/s

17.

A grindstone spinning at the rate of 8.3 rev/s has what approximate angular speed?

3.2 rad/s

26 rad/s

52 rad/s

81 rad/s

18.

What is the angular speed about the rotational axis of the Earth for a person standing on the surface?

7.3 x 10^-⁵rad/s

3.6 x 10^-⁵ rad/s

6.28 x 10^-⁵rad/s

3.14 x 10^-⁵rad/s

19.

Condition for maximum torque is

$\theta$ = 90 degree

$\theta$ =180 degree

$\theta$ = 0 degree

not defined

20.

Find liner velocity of an object on Earth’s equator moves as a result of Earth’s rotation (Earth’s radius=6.4X10⁶m)

400 m/s

100 m/s

10m/s

Reset

Rotational Dynamics and Equilibrium

Total questions: 20

Worksheet time: 38mins

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