H 10.3 2 points possible (graded) a. A vertical wheel with a diameter of 50 cm starts from rest and rotates with a constant angular acceleration of 3 rad/32 around a fixed axis through its center counterclockwise. Suppose that a point that is initially at the bottom of the wheel. How long (in sec) does it take for the point to reach at the top of the wheel? Give your answer to two significant figures without units. b. Solve the previous problem this time supposing that the angular acceleration is given by 2t rad/s2 Give your answer to two significant figures without units. In this problem, we will learn about a concept called "instantaneous axis of rotation". Suppose a circle with radius R : 2m is moving to the right. The velocity of its center of mass is v : lm/s. At some intant t, a snapshot of the circle is given below. The point 0 which is in touch with the ground doesn't move at all at this instant. This it can be taken as the axis rotation at this instant. This point 0 is called the "instantaneous axis of rotation". The whole circle can be thought of rotating about 0 at this particular instant. 0 a. The velocity of the point C is given (it's the same as the velocity of COM, Le 11 : lm/s). Find the angular velocity of the disk about point 0 (in rad/s). \f