An 14.3-kg stone at the end of a steel (Young's modulus 2.0 x 1011 N/m2) wire is being whirled in a circle at a constant tangential speed of 14.3 m/s. The stone is moving on the surface of a frictionless horizontal table. The wire is 3.14 m long and has a radius of 1.72 x 10-3 m. Find the strain in the wire.
An 14.3-kg stone at the end of a steel (Young's modulus 2.0 x 1011 N/m2) wire...
An 9.15-kg stone at the end of a steel (Young's modulus 2.0 x 10^11 N/m2) wire is being whirled in a circle at a constant tangential speed of 13.9 m/s. The stone is moving on the surface of a frictionless horizontal table. The wire is 4.40 m long and has a radius of 3.25 x 10^-3 m. Find the strain in the wire.
Steel is very stiff, and Young's modulus for steel is unusually
large, 2 × 1011 N/m2. A cube of steel 17 cm
on a side supports a load of 58 kg that has the same horizontal
cross section as the steel cube.
(a) What is the magnitude of the "normal" force
that the steel cube exerts on the load?
F=
N
(b) What is the compression of the steel cube?
That is, what is the small change in height of...
A copper (Young's modulus 1.1 x 1011 N/m2) cylinder and a brass (Young's modulus 9.0 x 1010 N/m2) cylinder are stacked end to end, as in the drawing. Each cylinder has a radius of 0.38 cm. A compressive force of F = 8600 N is applied to the right end of the brass cylinder. Find the amount by which the length of the stack decreases.
Steel Young's Modulus (Y) 20 X 1010 N/m2 Shear Modulus (S) 8.1 X 1010 N/m2 Bulk Modulus (B) 16 X 1010 N/m2 The table to the above represents various properties of steel. You have steel wire 4.4 meters in length that stretches 0.12 cm when subjected to a force of 300 N. 1)What is the diameter of the wire? d1 =__________ cm 3)What would the diameter of the wire be if you wanted the wire to stretch 0.06 cm less...
In the figure, a 140 kg uniform log hangs by two steel wires, A and B, both of radius 1.00 mm. Initially, wire A was 2.50 m long and 2.20 mm shorter than wire B. The log is now horizontal. Young's modulus for steel is 2.00 × 1011 N/m2. What are the magnitudes of the forces on it from (a) wire A and (b) wire B? (c) What is the ratio dA/dB?
A stone with a mass of 0.700 kg is attached to one end of a string 0.800 m long. The string will break if its tension exceeds 50.0 N. The stone is whirled in a horizontal circle on a frictionless tabletop; the other end of the string remains fixed. A. Find the maximum speed the stone can attain without breaking the string.
A steel pipe with length L has bulk modulus 1.6×1011 N/m2 and density 7860 kg/m3 . One end of the pipe is dealt a sharp blow with a hammer. A listener at the other end of the pipe hears two sounds: one from the wave traveling along the pipe and one from the wave traveling through the air. Find the length of the pipe, if the time interval between the two sounds is 1.45 s. Take the speed of sound...
1. A wire 2.0 m long and cross sectional area of 10-6 m2 is stretched 1.0 mm by a force of 50.0 N. Calculate: (a) The stress. (5.0 x 107 N/m2 ) (b) The strain. (5.0 x 10-4 ) (c) Young’s modulus of elasticity. (1.0 x 1011 N/m2) (d) The energy stored in the wire. (0.025 J)
A mineshaft has an elevator hung from a single steel-wire cable of diameter 2.5 cm. Young's modulus of the cable is 10×1010N/m2. When the cable is fully extended, the end of the cable is 600 m below the support. How much does the fully extended cable stretch when 1000 kg of ore is loaded into the elevator?