A stone tied to the end of a string 1000 cm ling is whirled in a horizontal circle with a constant speed. If the stone makes 15 revolutions in 30 seconds, the acceleration of the stone is closest to
315 cm/s2
630 cm/s2
985 cm/s2
3950 cm/s2
Starting from rest, a particle travels on a circular path and the distance covered is prescribed by the relation s = kt2; where k is constant and t is the time. The particle then has a tangential acceleration of
k/2
k
2k
4k
An aircraft executes a horizontal loop of radius 1 km with a steady speed of 900 km/hr. In terms of acceleration due to gravity (g = 10 m/s2), the centripetal acceleration of aircraft would be
3.12 g
6.25 g
12.5 g
18.75 g
For a particle moving in a circular orbit of radius 0.4 m, the angular velocity and angular acceleration at a particular instant are 2rad/s and 5rad/s2. The particle then has a total linear acceleration of
1.9 m/s2
2.69 m/s2
3.8 m/s2
7.24 m/s2
A solid sphere rolls on a level surface. The rotational kinetic energy and total kinetic energy are in the ratio
2 : 7
5 : 7
3 : 7
1 : 3
A motor cyclist goes around a circular track of 440 m length in 20 seconds. The cyclist should then make an angle with the vertical equal to about( Take g = 9.8 m/s2 )
18°
35°
47°
59°
An aero plane traveling at a speed of 600 km/hr banks at an angle of 30 degree as it makes a turn. The radius of curve is about
(Take g = 10 m/s2)
3.4 km
4.8 km
2 km
8.6 km
A train running at 48 km/hr has to negotiate a curve of 400 m radius. If the distance between the rails is 1 m, by how much should the outer rail be raised with respect to the inner rail?
(Take g = 10m/s2)
2.22 cm
4.44 cm
6.66 cm
8.88 cm
A spherical cage of radius 5 m has been erected for performing a motor cycle feat of ‘going in a vertical circle’. The minimum speed with which the cyclist should perform the feat so that he may not fall is a about
(Take g = 9.8 ms2)
4.95 m/s
7.0 m/s
9.9 m/s
13.85 m/s
A car is moving in a circular horizontal track of radius 10 m with a constant speed of 10 m/s. A plumb bob is suspended from the roof of the car by a light rigid rod of length 10 m. The angle made by the rod with the track is
(Take g = 10m/s2)
0°
30°
45°
60°