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Steel Piano stringThe lowest note on a grand piano has a frequency of 27.5 Hz. The string is 2 m (more or less; let's just assume it is exactly 2.000 m) long, and its tension is 1000 N (again, more or less, so let's say it's exactly 1000 N).
1. What must the length density ? (mass per unit length, in units of kg/m or g/m) of the string be?2. If the string is to be made of steel, which has a volume density ? = 7800 kg/m^3, what must the diameter of the string be?
Two charged bodies exert the force of .145N on each other. If they are moved so that they are one fourth as far apart, what force is exerted.
A 12.0 resistor, 10.0 mH inductor, and a 50.0 µF capacitor are connected in series to a 55.0 V (rms) source having variable frequency. Find out the energy delivered to the circuit during one period if the operating frequency is twice the resonance..
The sound level measured in the room by a person watching a movie in a home theatre system varies from 63 dB throughout a quiet part to 92 dB throughout a loud part. In the order of how many times louder is the latter sound.
One mole of nickel (6E23 atoms) has a mass of 54 grams, and its density is 8.9 grams per cubic centimeter. You have a long thin bar of nickel, 2.0 m long, with a square cross section, 0.12 cm on the side.
What is the lift (in newtons) by reason of Bernoulli's principle on a wing of area 77 m^2 if the air passes over the top and bottom surfaces at speeds of 270 m/s and 140 m/s, correspondingly.
Design a circuit to control the temperature of a water bath at a set-point temperature of 85°C. Choose a resistive sensor and draw up a circuit that will provide control around the set-point.
A puck of mass m1 = 63g and radius r1 = 4.30 cm glides across an air table at a speed of = 1.50 m/s. It makes a glancing collision with a second puck of radius r2 = 6.00 cm and mass m2 = 115 g (initially at rest) such that their rims just touch.
What resistive force (assumed to be constant) does the wood exert on bullet? How long does it take the bullet to come to rest.
A wheel has a radius of 3.6m. How far (path length) does a point on the circumference travel if the wheel is rotated by angles of 30°, 30 rad, and 30 rev, respectively.
To store the energy produced in 1hour by a 110 electric power plant, how many cubic meters of water will have to be pumped from the lower to the upper reservoir? Suppose the upper reservoir is 510 meters above the lower one, and we can neglect the sm..
A projectile is fired straight upward at 141 m/a. how fast is it moving at the instant it reaches the top of its trajectory? Assume in its place that it was fired upward at 45. What would be its speed at the top of its trajectory.
This is because of the average release of about 0.03 J per kilogram each year. Show that at 500 C increase in temperature for a thermally insulated chunk of granite takes about 13.3 million years. (Assume that the specific heat of capacity c of g..
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