ROTATIONAL MOTION | Baamboozle - Baamboozle | The Most Fun Classroom Games!

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An object is moving in a COUNTERCLOCKWISE circle at constant speed. What is the direction of the velocity vector at point B?

up

The object rotates around an axis in ---------- motion.

rotational

A stone, of mass m, is attached to a strong string and whirled in a vertical circle of radius r. At the exact top of the path the tension in the string is 3 times the stone's weight. The stone's speed at this point is given by

2(gr)1/2

What is the magnitude of the centripetal acceleration of a car following a curve of radius 400 m at a speed of 20.0 𝑚𝑠^(−1)

1 m/s^2

What force is centripetal force in the given figure?

𝐹𝑁 𝑠𝑖𝑛⁡𝜃

When the angular velocity is increasing, the angular acceleration vector points -----------.

in the same direction as the angular velocity vector

A 175-kg ball on the end of a string is revolving uniformly in a horizontal circle of radius 0.500 m. The ball makes 2.00 revolutions in a second. Determine the speed of the ball.

6.28 m/s

A roller coaster car (mass = M) is on a track that forms a circular loop (radius = r) in the vertical plane. If the car is to just maintain contact with the track at the top of the loop, what is the minimum value for its speed at that point

(rg)1/2

An object moves with a constant speed of 30 m/s on a circular track of radius 150 m. What is the acceleration of the object?

6 m/s^2

Relation between The linear velocity (tangential velocity) ‘v’ and the angular velocity

v = r 𝜔

The magnitude of the centripetal (radial) acceleration is

ac = v^2/r

The angle through which an object in rotation moves, measured in degree or radians is -----------.

angular displacement

The tangential acceleration 𝑎_𝑇 relates to angular acceleration α (measured in radian per second squared) by the equation-----.

𝑎T = r α

A car goes around a flat curve of radius 50 m at a speed of 14 m/s. What must be the minimum coefficient of friction between the tires and the road for the car to make the turn?

0.4

A 175-kg ball on the end of a string is revolving uniformly in a horizontal circle of radius 0.500 m. The ball makes 2.00 revolutions in a second. Determine the ball's centripetal acceleration.

79 m/s^2

An athlete weighing 980 N is running a curve at a speed of 5 m𝑠^(−1) in an arc. The radius of curvature of arc is 7 m. Find the centripetal force acting on him. Which force provides the centripetal force?

357.4 N, Friction.

For an object moving in uniform circular motion, does the velocity change? why?

Yes, the direction is changing all the time.

An object is moving in a COUNTERCLOCKWISE circle at constant speed. What is the direction of the acceleration at point B?

left (towards the center)

Circular motion is a specific type of a -------- motion

two- dimensional

What is the angle of banking which would allow vehicles to round a curve of 900 ft radius at 40 mph without friction ?

6.8 degree

In uniform circular motion, the tangential velocity is always ___________ to the circular path.

tangent/ tangential velocity

A wheel rotates with a constant angular acceleration of 3.50 rad𝑠−𝟐 . (a) If the angular speed of the wheel is 2.00 rad 𝑠−𝟏 at 𝑡𝑖 = 0, through what angular displacement does the wheel rotate in 2.00 s?

11 rad (or) 1.75 rev