Asked by Martin
The piston in a particular car engine moves in approximately simple harmonic motion with an amplitude of 8 cm. The mass of the piston is 8 kg and the piston makes 100 oscillations per second. Calculate:
a) the maximum value if the acceleration of the piston.
b) the force needed to produce this acceleration.
a) the maximum value if the acceleration of the piston.
b) the force needed to produce this acceleration.
Answers
Answered by
Anonymous
x = .08 sin 2 pi (100)t
= .08 sin 628 t
v = dx/dt = .08(628) cos 628 t
a = d^2x/dt^2 = -.08(628)^2 sin 628 t
so
max a = .08(628^2)
max f = m a = 8 * max a
= .08 sin 628 t
v = dx/dt = .08(628) cos 628 t
a = d^2x/dt^2 = -.08(628)^2 sin 628 t
so
max a = .08(628^2)
max f = m a = 8 * max a