A rock tied to a string is swung around in a circle at a constant speed of 25 ft/sec. The length of the string is 1.765 ft. Calculate the acceleration.
= _____ .
354.1 ft/sec2
350 ft/sec2
14.16 ft/sec2
14 ft/sec2
To calculate the acceleration of an object moving in a circular path, we can use the formula for centripetal acceleration:
a = (v^2) / r
Where:
a is the acceleration
v is the velocity/speed of the object
r is the radius of the circle
In this case:
v = 25 ft/sec
r = 1.765 ft
Calculating the values:
a = (25^2) / 1.765
a = 625 / 1.765
a ≈ 354.1 ft/sec^2
Therefore, the correct answer is:
354.1 ft/sec^2