Questions in Motion in A Plane

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A cylindrical vessel partially filled with water is rotated about its vertical central axis. It’s surface will
If a particle covers half the circle of radius R with constant speed then
An aeroplane is flying with a uniform speed of 100 m/s along a circular path of radius 100 m. the angular speed of the aeroplane will be
A body moves with constant angular velocity on a circle. Magnitude of angular acceleration
What is the value of linear velocity, if \[\vec \omega = 3\hat i - 4\hat j + \hat k\] and \[\vec r = 5\hat i - 6\hat j + 6\hat k\]
A stone is tied to one end of a string 50 cm long is whirled in a horizontal circle with a constant speed. If the stone makes 10 revolutions in 20 s, what is the magnitude of acceleration of the stone
A 100 kg car is moving with a maximum velocity of 9 m/s across a circular track of radius 30 m. The maximum force of friction between the road and the car is
The maximum speed of a car on a road–turn of radius 30 m, if the coefficient of friction between the tyres and the road is 0.4, will be
The angular velocity of a wheel is 70 rad/sec. If the radius of the wheel is 0.5 m, then linear velocity of the wheel is
A cyclist goes round a circular path of circumference 34.3 m in \[\sqrt {22} \] sec. the angle made by him, with the vertical, will be

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