Question

please solve as soon as possible!

An early method of measuring the speed of light makes use of a rotating slotted wheel. A beam of light passes through a slot at the outside edge of the wheel as in the figure, travels to a distant mirror, and returns to the wheel just in time to pass through the next slot in the wheel One such slotted wheel has a radius of 6.3 cm and 110 slots at its edge. Measurements taken when the mirror is 500 m from the wheel indicate a speed of light of 3.0 x 105 km/s (a) What is the constant) angular speed of the wheel? (b) What is the linear speed of a point on the edge of the wheel? Mere der Rotating | 4test vi (a) Number Units Units

Answer 1

(Q.) Angular Speed ce wheel, W-2 T t (0:1) Angular speed wheel, of W= o t O = 2 110 O= 5.71 x 10-2 rad t = 2L c 2 X 5oom 3 X 10° t = 3. 3 4 x 10-6S W = = o t 5.71 X10-? 3.34 x 10-6 4 W = 1.70 X 10 rad/s (b) Linear speed of a point edge of wheel, V=MW + 0.083m M = 4 ) V = 1.7 X10 X 0.003 4 V = 0.141 X10 mis Aus