A mass of 0.1 kg is rotated in a vertical circle using a string of length one metre. when the string makes an angle 30 degree with the vertical, the speed of the mass is 2 metre second inverse one.the radial acceleration of the mass at that instant is
Answers
Explanation:
PHYSICS
A mass of 0.1 kg is rotated in a vertical circle using a string of length 20 cm. When the string makes an angle of 30
0
with the vertical, the speed of the mass is 1.5ms
−1
. The tangential acceleration of the mass at that instant is:
December 26, 2019avatar
Sangita Praveen
SHARE
ANSWER
This problem is an example of circular motion, so the equation to use will be:
F = (m v2) / r
where F is the centripetal force (acting towards the centre of the circle), m is mass,v is velocity and r is radius
Therefore we can calculate what the centripetal force will be:
F=14.94222N
As we said earlier, there are two forces acting on the mass towards the centre of the circle: its weight and the tension.
We can calculate the weight from the body's mass using W=m×g
W=0.2×9.81
Then,F=weight+tension
tension =F−weight
tension =14.942−0.2×9.81
tension=13.0N