A rock tied to a string is swung around in a circle with a radius of 10 ft. The centripetal acceleration is 16.9 ft/sec2. Calculate the speed of the rock.
V^2/R = 16.9 ft/s^2
R = 10 ft
Solve for V
To find the speed of the rock, we can use the formula for centripetal acceleration:
a = v^2 / r
where
a = centripetal acceleration,
v = speed of the rock, and
r = radius of the circle.
Given that the centripetal acceleration (a) is 16.9 ft/sec^2 and the radius (r) is 10 ft, we can rearrange the formula to solve for the speed (v):
v = sqrt(a * r)
v = sqrt(16.9 ft/sec^2 * 10 ft)
v = sqrt(169 ft^2/sec^2)
v = 13 ft/sec
Therefore, the speed of the rock is 13 ft/sec.