What is the centripetal acceleration of a skater moving with a
tangential speed of 2.0 m/s in a circular path with radius 2.0 m?
To find the centripetal acceleration of a skater moving in a circular path, you need to use the formula for centripetal acceleration:
a = v^2 / r
Where:
a = centripetal acceleration
v = tangential speed
r = radius of the circular path
In this case, the tangential speed (v) is given as 2.0 m/s and the radius (r) is given as 2.0 m.
To calculate the centripetal acceleration, plug the given values into the formula:
a = (2.0 m/s)^2 / 2.0 m
Simplifying the equation:
a = 4.0 m^2/s^2 / 2.0 m
a = 2.0 m/s^2
So, the centripetal acceleration of the skater moving with a tangential speed of 2.0 m/s in a circular path with a radius of 2.0 m is 2.0 m/s^2.