The athlete shown in the figure rotates a 1.00 kg discus along a circular path of radius 1.07 m. The maximum speed of the discus is 19.0 m/s. Determine the magnitude of the maximum radial acceleration of the discus.
The radial acceleration is V^2/R. The mass does not matter.
19^2/1.07 = ____ m^2/s
To determine the magnitude of the maximum radial acceleration of the discus, we can use the formula for centripetal acceleration:
ac = v^2 / r
where ac is the centripetal acceleration, v is the velocity of the discus, and r is the radius of the circular path.
Given that the maximum speed of the discus is 19.0 m/s and the radius of the circular path is 1.07 m, we can substitute these values into the formula:
ac = (19.0 m/s)^2 / 1.07 m
Simplifying the equation:
ac = 361 m^2/s^2 / 1.07 m
ac = 337.38 m/s^2
So, the magnitude of the maximum radial acceleration of the discus is approximately 337.38 m/s^2.