Question

The crank arm is 20 cm long. If we assume you pedaled at a steady speed and therefore the crank was moving at a constant angular velocity (crank, not the knee as was measured by the goniometer) during the 2 pedaling speeds, what were the angular accelerations, tangential accelerations, radial accelerations, and tangential velocities for each pedaling speed?

find for 40 rpm

find for 80 rpm

I wasn't sure if you needed these values or not, so I included them just in case.

	Initial Time (s)	Final Time (s)	Maximum Angular Position (deg)	Minimum Angular Position (deg)	Angular Displacement (deg)	Average Angular Position (deg)	Average Angular Velocity (deg/s)	Max. Angular Velocity (deg/s)	Average Angular Acceleration (deg/s2)	Max.  Angular Acceleration (deg/s2)
40 rpm	0.500	4.960	86.914	37.732	0.091	62.943	-0.079	117.187	-9.623	520.020
80 rpm	0.900	3.050	83.948	43.326	-0.274	59.047	-1.585	203.980	-34.707	1964.723

Answer 1

The crank arm is 20 cm long i.e. r = 0.20 m. From the table, the angular acceleration for 40 rpm and 80 rpm are

Tangential acceleration (a) will be for two cases

The radial acceleration will be for two cases

Tangential velocities are