Inside a large container filled with glycerin at rest, which has a density ? = 1260 kg/m3 and viscosity ? = 0.830 Pa ∙ s, a sphere of radius 2.50 cm, made of a material whose density is 400 kg/m3, and is released from rest. Under these conditions: a. Draw a free-body diagram, showing all the forces to which the ball is subjected.
Inside a large container filled with glycerin at rest, which has a density ? = 1260 kg/m3 and
viscosity ? = 0.830 Pa ∙ s, a sphere of radius 2.50 cm, made of a material whose density is 400 kg/m3, and is released from rest. Under these conditions:
a. Draw a free-body diagram, showing all the forces to which the ball is subjected.
sphere while moving within the fluid, also indicate the direction of movement.
b. Determine the terminal speed of the sphere.
c. Calculate the acceleration of the sphere when its speed is half its terminal speed.
d. Suppose the sphere is now placed in an oil whose viscosity and density at room temperature
environment are less than those of glycerin (?oil = 875 kg/m3 and ?oil = 0.255 Pa ∙ s). What happens to the terminal speed of the sphere: does it increase, decrease, or stay the same? Justify your
response.
Answer sub-part c and d.
Step by step
Solved in 3 steps with 3 images
