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Angular velocity = angle covered / time taken Hence angular velocity of the hour hand = 2pi/ 12*3600 = 1.4 x 10-4 rad/s
Pi/21600
Two pie over 60 Radian per Minute.
Second hand . . . 360 degrees per minuteMinute hand . . . 360 degrees per hourHour hand . . . 360 degrees per 12 hours = 30 degrees per hour
Angular velocity has units of (angle per time), usually stated in radians per second. (1 whole revolution = 2 pi radians) Assuming the watch is operating properly, the second hand turns once per minute. 1 rev/minute = (2 pi) / (60 seconds) = pi/30radians per second. This is usually good enough for most physicists, but if they demand a number, it's easy to work it out: pi = 3.14159 (rounded) Angular velocity = pi/30 = 0.10472 radians per second. Or if you really want the physicist to take notice, tell him "104.72 milliradians per second".
Angular velocity = angle covered / time taken Hence angular velocity of the hour hand = 2pi/ 12*3600 = 1.4 x 10-4 rad/s
The angular velocity of the second hand of a clock is pi/30 radians per second.
angular velocity s the rotational analague of linear velocity...direction of linear velocity s along tangent to the circle while that of angulr velocity s along the axis of rotation.the direction of angular v can be find by right hand rule which state that if the axis of rotation s held n right hand with fingers curled round the direction of rotation then the thumb will mark the direction of angular velocity.... the magnitude of angular velocity that s the angular speed is represented by the length of the line along the axis of rotation...its units are rad/sec,degrees/sec or revolution/sec while that of linear velocity s m/sec...
Pi/21600
The second hand moves 1/60th of a full rotation per second, this is equivalent to 2π/60 radians per second this is known as the objects angular velocity. the equation linking linear velocity and angular velocity is v=rω where v=linear velocity, ω=angular velocity and r=radius and so we must substitute our values in. v=(15/1000)(π/30)=0.00157 m/s which is 1.57mm/s. notice instead of just putting 15 for the radius, i did 15/1000 in order to change it from millimetres to metres, this gave me the linear velocity in m/s.
150radians/sec
Two pie over 60 Radian per Minute.
Second hand . . . 360 degrees per minuteMinute hand . . . 360 degrees per hourHour hand . . . 360 degrees per 12 hours = 30 degrees per hour
Angular motion.
Angular velocity has units of (angle per time), usually stated in radians per second. (1 whole revolution = 2 pi radians) Assuming the watch is operating properly, the second hand turns once per minute. 1 rev/minute = (2 pi) / (60 seconds) = pi/30radians per second. This is usually good enough for most physicists, but if they demand a number, it's easy to work it out: pi = 3.14159 (rounded) Angular velocity = pi/30 = 0.10472 radians per second. Or if you really want the physicist to take notice, tell him "104.72 milliradians per second".
Ignoring the fact that some clocks "jump", for example once a second, each of the three arms moves at constant angular velocity. The speed, in this case, is constant; the velocity is not since the direction changes. On the other hand, sometimes people use a vector to describe an angular velocity. Angular momentums add nicely with vector representation.
That motion is called angular motion. The angular speed of the second hand is 2pi radians per minute.