Advertisements
Advertisements
प्रश्न
A cylinder of length 1.5 m and diameter 4 cm is fixed at one end. A tangential force of 4 × 105 N is applied at the other end. If the rigidity modulus of the cylinder is 6 × 1010 Nm-2 then, calculate the twist produced in the cylinder.
Advertisements
उत्तर
Torsion of a cylinder τ = `(πη"r"^4Φ)/(2"l")`
Twist produced in the cylinder Φ = `(τ xx (2"l"))/(πη"r"^4) = (("F" xx "l") xx (2"l"))/(πη"r"^4)`
= `(4 xx 10^5 xx 2 xx (1.5)^2)/(3.14 xx 6 xx 10^10 xx (2 xx 10^-2)4)`
= `(18 xx 10^5)/(3.01 xx 10^-6 xx 10^10)`
Φ = 59.80
APPEARS IN
संबंधित प्रश्न
Consider two wires X and Y. The radius of wire X is 3 times the radius of Y. If they are stretched by the same load then the stress on Y is ___________.
The load-elongation graph of three wires of the same material as shown in the figure. Which of the following wire is the thickest?
For a given material, the rigidity modulus is `(1/3)^"rd"` of Young’s modulus. Its Poisson’s ratio is
Which of the following is not a scalar?
Copper of fixed volume V is drawn into a wire of length l. When this wire is subjected to a constant force F, the extension produced in the wire is ∆l. If Y represents Young’s modulus, then which of the following graphs is a straight line?
The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied?
Define Poisson’s ratio.
What is the effect of temperature on elasticity?
Write down the expression for the elastic potential energy of a stretched wire.
Why the passengers are advised to remove the ink from their pens while going up in an aeroplane?
