Question

A displacer is a device used for level measurement. It operates on the principle of weight change due to buoyancy as the level changes. A displacer does not float. A typical displacer has dimensions of 45.0 mm diameter by 400 mm long, and a mass of 1.38 kg. It is suspended vertically from a torque tube sensor.

a. What is the force exerted by the displacer on the sensor if there is no liquid present?

b. What is the force exerted by the displacer on the sensor if the displacer is totally immersed in water at 25.0 oC?

c. What is the force exerted by the displacer on the sensor if it is totally immersed in light crude oil at a temperature of 25.0 oC?

d. What is the force exerted by the displacer on the sensor if it is half submerged in water and the other half is in light crude oil both at a temperature of 25.0 oC?

g=9.81169 m⁄s^2

ρ_water=997.05 kg⁄m^3

ρ_(oil at 15 deg⁡C )=860 kg⁄m^3

β_(light crude oil)=〖0.64×10〗^(-3)

Answer 1