The Hour hand has an angular velocity of 1/1440 of an RPM. By the way an RPM is 2 Pi radians per minute. And the tangential velocity cannot be computed without knowing the length of the radius of the hand.
What is the speed of hour hand of a clock?
The hour hand of a normal 12-hour analogue clock turns 360° in 12 hours (720 minutes) or 0.5° per minute. The minute hand rotates through 360° in 60 minutes or 6° per minute.
What is the angular velocity of the hand of a clock?
Hence, the angular velocity of the minute hand on a clock is π1800rad/s.
What is the angular speed of the hour hand in radians second?
Its angular velocity is π30 radians per second (about 0.105 radians/s.
Is the angular speed of the hour hand of a clock greater than less than or equal to the angular speed of the minute hand?
The hour hand of a watch takes 12h to complate one rotation i.e. T1=12 hour. And the earth takes 24 hours to rotate once around its axis, i.e. T2=24 hour. i.e., angular speed of hour hand is greater than the angular speed of earth around its axis.
Is the angular speed of rotation of hour hand?
Hour-hand of a watch completes one rotation in 12 hours, while earth completes one rotation in 24 hours. So angular velocity of hour-hand is double the angular velocity of the earth. This is because ω = 2 π T , where T is the time taken to complete one rotation and ω is the angular velocity.
How do you find the angular velocity of a clock?
There are 2*pi radians in a complete circle, so imagine the minute hand moving around a circular clock. It completes a full rotation around that circular clock in 60 minutes. So the angular speed of the minute hand is 2 * pi / 60 = pi / 30 = (approximately) 0.10472 radians/minute.
How do you find angular speed?
Angular speed: ω=θt where omega ω is the symbol for angular speed, θ is the angle of rotation expressed in radian measure, and t is the time to complete the rotation. Linear speed: v=rω where v is the linear speed, r is the radius, and ω is the angular speed.
How do you find the angular velocity of the hour hand?
Time rate of change of angular displacement is angular velocity.
- Angular velocity =timetakenangletraced
- So, ω=122πrad/s.
What is the angular speed of the second hand and minute hand and hour hand of a clock?
Since the minute hand of a clock completes a circular revolution in 60 minutes, the angular velocity of the minute hand is, ω=2π60×60=π1800=1.75×10-3rad⋅s-1 . Since the hour of a clock completes a circular revolution in 12 hours, the angular velocity of the hour hand is, ω=2π12×60×60=π21600=1.45×10-4rad⋅s-1.
What is the angular velocity of the hour hand of a clock class 11?
Answer: the answer is π/21600 rad /s.