Centripetal Force. Acceleration in a Circle. Acceleration is a vector change in velocity compared to time. For small angle changes the acceleration vector points directly inward. This is called centripetal acceleration. d q. Centripetal Acceleration.
A circular saw is designed with teeth that will move at 40. m/s.
The bonds that hold the cutting tips can withstand a maximum acceleration of 2.0 x 104 m/s2.
Find the maximum diameter of the blade.
Start with a = v2/r.
r = v2/a.
r = (40. m/s)2/(2.0 x 104 m/s2)
r = 0.080 m.
Find the diameter:
d = 0.16 m = 16 cm.
FT cos q
FT sin q
cos q = 0.973
q = 13°