Problems of Pressure 1. Show that a mercury barometer with a height of 76.00 cm

Question

Problems of Pressure

1. Show that a mercury barometer with a height of 76.00 cm is reading a pressure of one atmosphere.

2. A barber chair rests on a hydraulic cylinder with 10 cm in diameter. A pedal input drives the cylinder having a sectional area of 10 cm2. Calculate the minimum force that must be done on the pedal to lift the seat and a client with a combined mass of 160 kg.

3. A weather balloon is filled with helium and has a mass of 5.00 kg and radius 2.879 m. Instruments are added with a mass of 10.0 kg. Calculate the net acceleration of the balloon and answer if the balloon will rise with that weight.

Explanation / Answer

a)P=rho*g*h=13600*9.81*0.76=101400Pa=1atm.

b)F=Fneeded*A1/A2=160*9.81*(10)/(pi*5^2)=199.8N

c)Buoyant force=V*(rho1-rho2)*g=4/3*pi*2.879^3*(1.2754-0.1786)*9.81=1075.5N

W=15g=147.15N

a=(B-W)/m=(1075.5-147.15)/15=61.9m/s^2

The balloon will rise since B>W

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