Chapter 01 : Physics: XII : Circular Motion : Test 3: Numericals

TEST 3@ : Circular Motion (Numerical)

Marks :20M                                                     Time : 40 Min
 
1) A turntable rotates at 120 rev/min. Calculates its angular speed in rad/sec and in degrees/s.                                                     (3M)
2) An object of mass 50 g moving along circumference of circle of radius 2m with constant angular speed 10 rad/sec. Calculate 
a) Linear Speed  b) Force directed towards center.                (4M)
3) A flat curve on highway radius curvature 300 m. A car rounds the curve at a speed of 24 m/s. What is the minimum value of coefficient of friction that will prevent vehicle from sliding.   (2M)
4) An aircraft in level flight completes a circular turn in 2 minutes.
a) What is radius of circular turn? b)What is the angle of banking , if the velocity of aircraft is 60 m/s?                                          (4M)

5) A meterguage train is moving 90 km/hr along a curved road of radius of curvature 600 m at a certain place.Find the elevation of outer rail above inner rail, so that there is no side pressure on rail.                                                             (g = 9.8 m/s²)                 (3M)

6) In "Well of death" motor cyclist having mass of 60 kg move in a spherical cage of radius 4m. Calculate the least velocity with which he must pass highest point without loosing. Also calculate his angular speed at highest point.                                                (4M)