Answer:
a) 0,1613 Hz
b) 1,01342 rad/sec
c) 9.5422 m
d)
Explanation:
In the Albert Michelson exhibit at Clark University, we know the period of oscillation of the chandelier is T = 6.2 seconds
The chandelier will be modeled as a simple pendulum
a) Since the frequency is the reciprocal of the period, we have
b) The angular frequency is computed as
c) The period of a simple pendulum is given by
Where L is its length and g is the local acceleration of gravity (assumed 9.8 for this part)
We want to know the length of the pendulum, so we isolate L
d) While hanging out in J.J. Thompson’s House O’ Blues, the new period is 6.2+0.11=6.32 sec. Since the chandelier is the very same (same length), we can assume the gravity is slightly different. We use again the formula for T, but now we'll isolate g as follows
Which results