An aircraft executes a horizontal loop of radius 1.00 km with a steady speed of 900 km/h. Then the ratio of its centripetal acceleration with the acceleration due to gravity is:
1. 5.4:1
2. 6.4:1
3. 4:1
4. 1:1
A stone tied to the end of a string \(80\) cm long is whirled in a horizontal circle at a constant speed. If the stone makes \(14\) revolutions in \(25\) sec, what is the magnitude of the acceleration of the stone?
1. \(8.1\) ms–2
2. \(7.7\) ms–2
3. \(8.7\) ms–2
4. \(9.9\) ms–2
Which one of the following is not true?
1. | The net acceleration of a particle in a circular motion is always along the radius of the circle towards the centre. |
2. |
The velocity vector of a particle at a point is always along the tangent to the path of the particle at that point. |
3. | The acceleration vector of a particle in uniform circular motion averaged over one cycle is a null vector. |
4. | None of the above. |
A cyclist is riding at a speed of 27 km/h. As he approaches a circular turn on the road of a radius of 80 m, he applies brakes and reduces his speed at a constant rate of 0.50 m/s every second. What is the magnitude of the initial acceleration of the cyclist on the circular turn?
1. 0.66
2. 0.56
3. 0.86
4. 0.16