- #1
PsychonautQQ
- 784
- 10
Homework Statement
There is a bucket with a leak in it in verticle SHM. What is the rate that the period changes with time?
dm/dt = 2 g/s
bucket = 2 kg
total water = 10kg
starting amplitude = 3cm
k=125 N/m
Homework Equations
T=2pi*sqrt(m/k)
The Attempt at a Solution
dT/dt = 2pi * sqrt((dm/dt)/k)
dT/dt = 2pi * (dm/dt)^1/2 / k^(1/2)
dT/dt = 2pi * (m/2)^-1/2 / k^1/2
dT/dt = 2pi * (m2k)^-1/2
my calculus isn't the sharpest so I probably screwed up taking the derivative?