The angular velocity of the second hand of a clock is pi/30 radians per second.
Since there are 2 Pi radians in one complete turn, then the minute hand turns 1.75 * 2 Pi radians in 1.75 hours.
60°
30 degrees.
50
There are two angles: -- The small one is 60°, an acute angle. -- The big one is 300°, a reflex angle.
-- The angular velocity isone revolution/minute = 360 degrees/minute = 6 degrees/second .(2 pi) radians/minute = pi/30 radians per second . -- If the clock is working properly ... not starting, stopping, speeding up, orslowing down ... then the angular acceleration of any of its hands is zero.
Angular velocity = angle covered / time taken Hence angular velocity of the hour hand = 2pi/ 12*3600 = 1.4 x 10-4 rad/s
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.
pi (there are 2 pi radians in a full circle) [or 3.14159]
Wow-here goes. 2 pi radians=360 degrees=60 sec. so we have (2 pi rad)/60 sec=(6.28 rad)/60 sec and is ~ .21 rad/sec eh?
No the 'second hand' of a clock has a higher velocity, it makes one rotation each minute, while the minute hand makes on rotation each hour and the hour hand makes one rotation every 12 hours.
A clock's second hand makes one complete revolution each minute. Thus, by definition, it is rotating at one revolution per minute or one RPM. That's its "rotational velocity" and it is the same no matter how big or small the clock might be. The actual velocity that the tip of the second hand might trace out as it revolves around the center of the clock will vary with the length of the second hand. The longer the hand, the faster the tip moves around the circumference.
Since there are 2 Pi radians in one complete turn, then the minute hand turns 1.75 * 2 Pi radians in 1.75 hours.
1 radian = approx 9.5 minutes so 2.5 radians = 23.9 minutes. Therefore 2.5 p radians = 23.9p minutes.
pi/3 radians.
270 degress of 3*pi/2 radians
It is pi/3 radians (60 degrees).