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ROTATIONAL MOTION
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For an object moving in uniform circular motion, does the velocity change? why?
Yes, the direction is changing all the time.
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
In uniform circular motion, the tangential velocity is always ___________ to the circular path.
tangent/ tangential velocity
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
What force is centripetal force in the given figure?
š¹š‘ š‘ š‘–š‘›ā”šœƒ
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 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
An object is moving in a COUNTERCLOCKWISE circle at constant speed. What is the direction of the velocity vector at point B?
up
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
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 is moving in a COUNTERCLOCKWISE circle at constant speed. What is the direction of the acceleration at point B?
left (towards the center)
The angle through which an object in rotation moves, measured in degree or radians is -----------.
angular displacement
The object rotates around an axis in ---------- motion.
rotational
Circular motion is a specific type of a -------- motion
two- dimensional
A wheel rotates with a constant angular acceleration of 3.50 radš‘ āˆ’šŸ . (a) If the angular speed of the wheel is 2.00 rad š‘ āˆ’šŸ at š‘”š‘– = 0, through what angular displacement does the wheel rotate in 2.00 s?
11 rad (or) 1.75 rev
Relation between The linear velocity (tangential velocity) ā€˜vā€™ and the angular velocity
v = r šœ”
The tangential acceleration š‘Ž_š‘‡ relates to angular acceleration Ī± (measured in radian per second squared) by the equation-----.
š‘ŽT = r Ī±
When the angular velocity is increasing, the angular acceleration vector points -----------.
in the same direction as the angular velocity vector
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
An athlete weighing 980 N is running a curve at a speed of 5 mš‘ ^(āˆ’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.
The magnitude of the centripetal (radial) acceleration is
ac = mv^2/r
What is the magnitude of the centripetal acceleration of a car following a curve of radius 400 m at a speed of 20.0 š‘šš‘ ^(āˆ’1)
1 m/s^2
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