a stone of mass 50g is being rotated in a circle of radius 50cm with a uniform speed of 2m/s.what is thje accelerationof the stone?
To find the acceleration of the stone, we need to understand the concept of centripetal acceleration.
Centripetal acceleration is the acceleration experienced by an object moving in a circular path. It is always directed towards the center of the circle.
The formula to calculate centripetal acceleration is:
a = v² / r
Where:
a = centripetal acceleration
v = linear speed
r = radius of the circular path
In this case, the linear speed is given as 2 m/s, and the radius of the circular path is 50 cm, which is equal to 0.5 m.
Let's plug in the values into the formula:
a = (2 m/s)² / 0.5 m
Simplifying the equation:
a = 4 m²/s² / 0.5 m
a = 8 m/s²
Therefore, the acceleration of the stone is 8 m/s².