Answer:149.73 ml
Explanation:
Given

change in volume is given by

![\Delta V=\nu_{initial}\beta _{acetone}\left [ T_f-T_i\right ]](https://tex.z-dn.net/?f=%5CDelta%20V%3D%5Cnu_%7Binitial%7D%5Cbeta%20_%7Bacetone%7D%5Cleft%20%5B%20T_f-T_i%5Cright%20%5D)
![V_{final}=\nu_{initial}+\nu_{initial}\beta _{acetone}\left [ T_f-T_i\right ]](https://tex.z-dn.net/?f=V_%7Bfinal%7D%3D%5Cnu_%7Binitial%7D%2B%5Cnu_%7Binitial%7D%5Cbeta%20_%7Bacetone%7D%5Cleft%20%5B%20T_f-T_i%5Cright%20%5D)
![V_{final}=150+150\times 1.50\times 10^{-4}\left [ 20-32\right ]](https://tex.z-dn.net/?f=V_%7Bfinal%7D%3D150%2B150%5Ctimes%201.50%5Ctimes%2010%5E%7B-4%7D%5Cleft%20%5B%2020-32%5Cright%20%5D)

To solve this problem we will apply the concepts given from the circular movement of the bodies for which we have that the centripetal Force is defined as a product between the mass and the velocity squared at the rate of rotation, mathematically this is

Where,
m = Mass
v = Velocity
r = Radius
Our values are given as

Rearranging to find the velocity we have that,




Therefore the maximum speed can the mass have if the string is not to break is 29m/s
The equilibrium position for a pendulum is straight down. If it moves through that position every second then its period is actually 2 seconds. This is because the period is how long it takes to go from one extreme and back again. It will pass through the equilibrium point twice when doing this. Once on the way down and again on the way back.
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