Determine the volume of the solid formed when the region enclosed by the curve y=√x, the x-axis and the linex= 4, is revolved about the line x= 4.
Suppose 1.00 g of ethyl alcohol vaporizes isobarically at atmospheric pressure (2.013x105 Pa). Its volume in the liquid state is 3.00 cm3, and its volume in the vapor state is 1700 cm3. Find the work done in the expansion and the change in internal energy of the system. Ignore any mixing of the steam and the surrounding air—imagine that the steam simply pushes the surrounding air out of the way.
A 2.0-mol sample of an ideal gas is kept at 1.0°C during an expansion from 2.0 L to 9.0 L.
a. How much work is done on the gas during the expansion?
b. How much energy transfer by heat occurs with the surroundings in this process?
c. If the gas is returned to the original volume by means of an isobaric process, how much work is done on the gas?
Two string A and B are given. The length if A is twice that of B. The total mass if A is one-third that of B. If the tension in wire A is one-half that of B and the fundamental frequency of A is 400 Hz, what is the fundamental frequency of string B?
The second harmonic of an open pipe has a frequency double the frequency of the third harmonic of a closed pipe 5 m long. How long is the open pipe?
Standing waves are established in a string. The frequency of the wave is 512 Hz and the distance between two successive nodes is 8 cm. Calculate the velocity of the wave in the string.
A standing wave is set up in string 120 cm long. The string vibrates in four segments under a frequency of 120 Hz. Calculate the wavelength and the fundamental frequency of the string.
Longitudinal waves are set up in an aluminum rod. Calculate the velocity of the wave if the modulus of elasticity of aluminum is 6.9×10^11 dynes per sq. cm. and a density of the aluminum is 2.69 gram per cu. cm.
What is the wavelength in water of a compressional wave whose frequency is 400 per second if the speed of wave in water is 1,450 m/s?