A 3.0 m long cylindrical alloy beam is 21 cm in radius. It is found to stretch by 1.5 cm under a tension of 2.0 kN. Find its Young’s modulus.
Q: Calculate the force (in N) a piano tuner applies to stretch a steel piano wire 7.60 mm, if the wire…
A: The diameter of the piano wire, D=0.900 mm Therefore, the radius of the wire, r=D2=0.450 mm =…
Q: A steel wire of length 2.08 m with circular cross section must stretch no more than 0.200 cm when a…
A: Given data, Force F=380 N Length L0=2.08 m Young's modulus Y=2×1011 Pa Change in length ∆L=0.2×10-2…
Q: A wire of 2.0000 m length and 1.0 mm diameter is suspended from the ceiling. Hanging a 4.500 kg…
A: Original length L = 2.0000 m Diameter of wire d = 1.0 mm Radius of wire r = d/2 = 1.0 / 2 mm = 0.5…
Q: When pushing off horizontally from a pool wall with her legs, the resulting force of the wall on the…
A: compression in length (∆L) = 2.98×10-5 m Length (L) = 36 cm = 0.36 m Radius (r) = 1.82 cm = 0.0182 m…
Q: For safety in climbing, a mountaineer uses a nylon rope that is 65 m long and 1.4 cm in diameter.…
A: In the question given the length of rope , diameter of rope , mass and change in the length and we…
Q: A 29.0 m long aluminum cable with a cross-sectional area of 2.01 x 10- m is used to suspend a 3.20 x…
A: The expression for young’s modulus of the material is, \Y=FAΔLL0ΔL=FL0AY=mgL0AY
Q: a)What is the magnitude of the bone shear force acting on the vertebra?Report in N b)what is the…
A: The objective of the question is to calculate the magnitude of the bone shear force and the bone…
Q: A 210-kg load is hung on a wire of length of 3.30 m, cross-sectional area 2.00 x 10-5 m2, and…
A: mass of load (m) =210 kg initial length of Wire (L0) = 3.3 m Cross sectional area of Wire (A) = 2.0…
Q: For safety in climbing, a mountaineer uses a nylon rope that is 65 m long and 1.3 cm in diameter.…
A:
Q: water has a bulk modulus of 2.2 x 109 n/m2. Suppose water at an atmospheric pressure has a density…
A: The bulk modulus of water is The density of the water at atmospheric pressure is The depth of the…
Q: A 13.2 kg child jumps up and grabs a (round) horizontal tree branch that has a diameter of 5 cm. The…
A: GivenMass of child m=13.2 kgDiameter of tree branch d =5 cm=0.05 mLengh of Branch iinitialy from…
Q: An aluminum wire of length 4.3 m and diameter 2.5 mm is connected to a steel wire of length 3.1 m…
A: The change in length for aluminum is, ∆lAl=FlAYAl =49.84.3π2.5×10-3227×1010…
A 3.0 m long cylindrical alloy beam is 21 cm in radius. It is found to stretch by 1.5 cm under a tension of 2.0 kN. Find its Young’s modulus.
Step by step
Solved in 2 steps
- Assume a human leg contains a 50cm long bone with an average cross section of 3cm. By how much (in micrometres) does the bone shorten when the entire body weight of the person is supported by that one leg. The body weight is 700N and the Young's modulus for bone is 1.8 x 1010 Pa Answer:For safety in climbing, a mountaineer uses a nylon rope that is 65 m long and 1.5 cm in diameter. When supporting a(n) 86-kg climber, the rope elongates 1.4 m. Find its Young's modulus.When a certain liquid freezes, it expands about 10.0%. What would be the pressure increase inside an engine block if the liquid in it froze? (The bulk modulus of the liquid when it solidifies is 1.60 x 10° N/m².) N/m2 Need Help? Read It
- A plank 2.00 cm thick and 16.3 cm wide is firmly attached to the railing of a ship by clamps so that the rest of the board extends 2.00 m horizontally over the sea below. A man of mass 67.7 kg is forced to stand on the very end. If the end of the board drops by 5.40 cm because of the man's weight, find the shear modulus of the wood. 75376.05a cable has a diameter of 4mm and an original length of 2m.The cable is pulled by a force of 130N.The final length of the cable is 2.02m -calculate the youngs modulus of the cableConsider a square-faced beam supporting a section of a building. a) Before installation, the length of the beam is found to be l0 = 15.02 m (figure a). After installation and construction, the length is remeasured and found to be l = 14.98 m (figure b). Determine Young's Modulus Y in N/m2 for the beam if it supports a mass m = 35000 kg and has a side length d = 1.9 m. b) Suppose that after the beam is installed it needs to be repaired. The weight it supports is removed and replaced with a new mass m2 (figure c). After the new mass is supported, the side length is remeasured and found to be larger with a difference of Δd. Assuming that this side length deformation is uniform and small, write an expression for determining Poisson's ratio v for this beam if its Young's modulus Y is known.