A completely submerged object always displaces its own
A) volume of fluid.
B) weight of fluid.
C) density of fluid.
D) all of the above
E) none of the above
Answer: A
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A small aluminum sphere of diameter D, initially at a uniform temperature To, is immersed in a liquid whose temperature, T?, varies sinusoidally according to
T? – Tm = A sin (? t) where: Tm = time-averaged temperature of the liquid A = amplitude of the temperature fluctuation ? = frequency of the fluctuations
If the heat transfer coefficient between the fluid in the sphere, ah , is constant and the system may be treated as ‘lumped capacity,’ derive an expression for the sphere temperature as a function of time.
GIVEN
• A small aluminum sphere is immersed in a liquid whose temperature varies sinusoidally
• Diameter of sphere = D
• Liquid temperature variation: T? – Tm = A sin (? t)
• The heat transfer coefficient = ah (constant)
• The system may be treated as a ‘lumped capacity’
FIND
• An expression for the sphere temperature as a function of time
ASSUMPTIONS
• Constant thermal conductivity
SKETCH
The equation of motion of a particle undergoing simple harmonic motion in the y direction is y = (2.0 cm) sin(0.60 s-1 t)
At time t = 0.60 s determine the particle's (a) position, (b) velocity, and (c) acceleration.
Assume everyone in the United States consumes one soft drink in an aluminum can every two days. If there are 300 million Americans, how many tons of aluminum need to be recycled each year if each can weighs 1/16 pound, and one ton = 2000 pounds?
a. 750,000 tons c. 1.7 million tons b. 1.5 million tons d. 3 million tons
Angular Quantities: At a certain instant, a compact disc is rotating at 210 rpm. What is its angular speed in rad/s?
A. 11 rad/s B. 22 rad/s C. 45 rad/s D. 69 rad/s E. 660 rad/s