Question
To maintain a rotor at a uniform angular speed of 200rad s-1, an engine needs to transmit a torque of 180Nm. What is the power required by the engine?
(Note: uniform angular velocity in the absence of friction implies zero torque. In practice, applied torque is needed to counter frictional torque). Assume that the engine is 100% efficient.

Answer

Angular speed of the rotor, $\omega=200\text{rad/s}$
Torque required, $\tau=180\text{Nm}$
The power of the rotor (P) is related to torque and angular speed by the relation,
$\text{P}=\tau\omega$
= 180 × 200 = 36 × 103 = 36kW
Hence, the power required by the engine is 36kW.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

A cylinder containing a gas is lifted from the first floor to the second floor. What is the amount of work done on the gas? What is the amount of work done by the gas? Is the internal energy of the gas increased? Is the temperature of the gas increased?
Two bodies make an elastic head-on collision on a smooth horizontal table kept in a car. Do you expect a change in the result if the car is accelerated on a horizontal road because of the noninertial character of the frame? Does the equation "Velocity of separation = Velocity of approach" remain valid in an accelerating car? Does the equation "Final momentum = Initial momentum" remain valid in the accelerating car?
A solid cylinder of mass 20kg rotates about its axis with angular speed 100rads-1. The radius of the cylinder is 0.25m. What is the kinetic energy associated with the rotation of the cylinder? What is the magnitude of angular momentum of the cylinder about its axis?
How will you convert a physical quantity from one unit system to another by method of dimensions?
Suggest a suitable physical situation for of the following graphs.

A block of mass M is pulled along a horizontal surface by applying a force at an angle with horizontal. Coefficient of friction between block and surface is u. If the block travels with uniform velocity, find the work done by this applied force during ú displacement d of the block.
The current in a long solenoid of radius R and having n turns per unit length is given by $\text{i}=\text{i}_0\sin\omega\text{t}.$ A coil having N turns is wound around it near the centre. Find
  1. The induced emf in the coil.
  2. The mutual inductance between the solenoid and the coil.
A concrete slab has a length of 10m on a winter night when the temperature is 0°C. Find the length of the slab on a summer day when the temperature is 35­°C. The coefficient of linear expansion of concrete is 1.0 × 10-5­°C-1.
Three girls skating on a circular ice ground of radius 200m start from a point P on the edge of the ground and reach a point Q diametrically opposite to P following different paths as shown in Fig. What is the magnitude of the displacement vector for each? For which girl is this equal to the actual length of path skate?

Give three important characteristics of displacement.