What is the relationship between the angular velocity of the hour hand, minute hand and second hand on a watch A: the ratio of the angular velocity of minute hand and hour hand is 1:60 The ratio of the angular velocity of the minute hand to the hour hand is 1:12 C the ratio of the angular velocity of the second hand to the minute hand is 1:12 D the ratio of angular velocity of second hand to minute hand is 1:60 The answer is B, D How do I figure it out? It's 60:1 2) For a famous brand watch, the length of the hour hand is 1cm, and the length of the minute hand is 1.5cm. The movement of the hour hand and minute hand can be regarded as uniform circular movement, and the linear velocity of the needle tip of the hour hand is 1.5cm__________ The linear velocity of minute needle tip is___________ The angular velocity of the second hand is___________ .

What is the relationship between the angular velocity of the hour hand, minute hand and second hand on a watch A: the ratio of the angular velocity of minute hand and hour hand is 1:60 The ratio of the angular velocity of the minute hand to the hour hand is 1:12 C the ratio of the angular velocity of the second hand to the minute hand is 1:12 D the ratio of angular velocity of second hand to minute hand is 1:60 The answer is B, D How do I figure it out? It's 60:1 2) For a famous brand watch, the length of the hour hand is 1cm, and the length of the minute hand is 1.5cm. The movement of the hour hand and minute hand can be regarded as uniform circular movement, and the linear velocity of the needle tip of the hour hand is 1.5cm__________ The linear velocity of minute needle tip is___________ The angular velocity of the second hand is___________ .

The first answer is correct. The angular velocity is radian / time (seconds), that is, the radian of turning divided by the time of turning the angle (seconds). According to this calculation, the angular velocity of the minute hand is 2 π / 60 * 60, the angular velocity of the hour hand is 2 π / 12 * 60 * 60, and the angular velocity of the second hand is 2 π / 60
Second: in the uniform circular motion, the linear velocity is equal to the ratio of the arc length (s) through which the moving particle passes and the time (△ T). The arc length of a clockwise turn is 2 π * 1cm, the time is 12 * 3600 seconds, the linear velocity is 2 π * 0.01m/43200 seconds = 4 * 10 ^ - 7 π M / S; the arc length of a minute hand turn is 2 π * 1.5cm, the time is 3600 seconds, The linear velocity is 2 π * 0.015 M / 3600 s = 8.3 * 10 ^ - 6 π M / s, and the angular velocity of the second hand is radian divided by time, i.e. 2 π / 60 = 0.033 π (rad / s)