Rotational and Circular Motion
A car is traveling on a circular road of radius 500 m. at some instant its speed is 50 m/s and increasing at the rate of 2 m/s². Its acceleration will be
A) 0.1 m/s²
B) 3 m/s²
C) 13 m/s²
D) 9 m/s²
Maximum tension in the string of length 1 m when tied to a mass of 100 g and making 2 revolutions per second is
A) 1.6\(\pi^2\) N
B) 16\(\pi^2\) N
C) 160\(\pi^2\) N
D) 0.16\(\pi^2\) N
A stone tied to the end of a circle is whirled in a vertical circle. The tension at the lowest point is maximum
A) The tension at the lowest point is maximum
B) The speed at the lowest point is maximum
C) The speed at the highest point is minimum
D) All of these
If a wheel of diameter 1 m is rotating at 2 rad/sec then its linear rim velocity is
A) 1 m/s
B) 2 m/s
C) 0.5 m/s
D) 0.75 m/s
If a disc is rotating anticlockwise in xy plane, then \(\omega\) is along
A) x-axis
B) y-axis
C) z-axis
D) - y - axis
The angular speed of minute’s hand of clock in rad/sec is
A) \(\pi 60 / 60\)
B) \(\pi 1800\)
C) \(\pi 8640 / 8640\)
D) \(\pi 4320 / 4320\)
A toy car is rotating in circle with angular speed of 60 rev/min. If the circle radius is 1 m, then linear speed of car in m/s is
A) 2\(\pi\)
B) \(\pi\)
C) 9\(\pi\)
D) 3\(\pi\)
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