Answer
Yes, we can increase the rotational kinetic energy of a wheel without changing the translational kinetic energy. This is possible when the net force is zero and net torque is not zero. For example in fan. Here, we see that net force is zero and net torque is not zero. So, the angular speed of the disk will increase with time and hence the rotational kinetic energy will increase.
Work Step by Step
Yes, we can increase the rotational kinetic energy of a wheel without changing the translational kinetic energy. This is possible when the net force is zero and net torque is not zero. For example in fan. Here, we see that net force is zero and net torque is not zero. So, the angular speed of the disk will increase with time and hence the rotational kinetic energy will increase.