- #1

lgunseor

- 2

- 0

9.8 (acceleration of gravity m/s^2)

1.397 (length of pendulum in meters)

.138 (mass of pendulum bob in kilograms)

90 (Θmax, maximum angle of the pendulum in degrees)

45 (Θ, the angle of interest for velocity in degrees)

Below is the equation that I found

v=√2*g*l/m*(cos(Θ) – cos(Θmax))

v=11.84

My confusion is that the equation for pendulum velocity at it's equilibrium position which should be the maximum velocity is less that at 45° in the above equation

v=√2*g*l*(1-cos(Θmax))

v=5.23

I understand that mass is in the first equation and not the second equation, but is the first equation correct for velocity at any angle? Is the equation for maximum velocity at the pendulum equilibrium position not correct? Any help would be appreciated.