Calculate the torque N twisting a steel tube of length `l=3.0m` through an angle `varphi=2.0^@` about its axis, if the inside and outside diameters of the tube are equal to `d_1=30mm` and `d_2=50mm`.

Find the elastic deformation energy of a steel rod whose one end is fixed and the other is twisted through an angle varphi=6.0^@ . The length of the rod is equal to l=1.0m , and the radius to r=10mm .

A wire of length 5m is twisted through 30^(0) at free end If the radius of wire is 1mm , the shearing strain in the wire is

A wire of length 5m is twisted through 30^(0) at free end If the radius of wire is 1mm , the shearing strain in the wire is

Calculate the excess pressure inside over outside of an air bubble of 0.2mm diameter surrounded by water.

The main scale reading of a vernier calipers (1 M.S.D. = 1 mm) having least count 0.01 cm of the internal and external diameters of a hollow tube are 11 mm and 12 mm. the minimum thickness of the tube is _________.

Calculate the pressure inside a raindrop of diameter 2 mm [ surface tension of water = 0.072 N/m]