Pi/21600
The angular velocity of the hour hand of length 1cm of a watch depends on the time unit and geometry of the watch. It can be calculated by dividing the angular displacement of the hour hand by time. One full rotation of the hour hand in 12 hours gives the angular velocity in radians per hour.
Angular velocity = angle covered / time taken Hence angular velocity of the hour hand = 2pi/ 12*3600 = 1.4 x 10-4 rad/s
Earth's rotation = 1 rev / day. Hour hand = 1 rev / 12 hours = 2 revs / day. The angular velocity of the hour hand is double that of the earth. Numbers: Earth = 2 pi / 24 hours = 2 pi / 86,400 = 7.27 x 10-5 sec-1 Hour hand = 2 pi / 12 hours = 2 pi / 43,200 = 1.45 x 10-4 sec-1
Second hand . . . 360 degrees per minuteMinute hand . . . 360 degrees per hourHour hand . . . 360 degrees per 12 hours = 30 degrees per hour
The direction of angular velocity is perpendicular to the plane in which the rotation is occurring. It follows the right-hand rule, with the thumb pointing in the direction of the axis of rotation and the fingers curling in the direction of the angular velocity.
The angular velocity of the hour hand of length 1cm of a watch depends on the time unit and geometry of the watch. It can be calculated by dividing the angular displacement of the hour hand by time. One full rotation of the hour hand in 12 hours gives the angular velocity in radians per hour.
Angular velocity = angle covered / time taken Hence angular velocity of the hour hand = 2pi/ 12*3600 = 1.4 x 10-4 rad/s
Earth's rotation = 1 rev / day. Hour hand = 1 rev / 12 hours = 2 revs / day. The angular velocity of the hour hand is double that of the earth. Numbers: Earth = 2 pi / 24 hours = 2 pi / 86,400 = 7.27 x 10-5 sec-1 Hour hand = 2 pi / 12 hours = 2 pi / 43,200 = 1.45 x 10-4 sec-1
Second hand . . . 360 degrees per minuteMinute hand . . . 360 degrees per hourHour hand . . . 360 degrees per 12 hours = 30 degrees per hour
The angular velocity of the second hand of a clock is pi/30 radians per second.
The direction of angular velocity is perpendicular to the plane in which the rotation is occurring. It follows the right-hand rule, with the thumb pointing in the direction of the axis of rotation and the fingers curling in the direction of the angular velocity.
Angular velocity is a measure of how fast an object is rotating around a specific axis, usually measured in radians per second. Angular momentum, on the other hand, is a measure of how difficult it is to stop an object's rotation, calculated as the product of angular velocity and moment of inertia. In simple terms, angular velocity is the speed of rotation, while angular momentum is the rotational equivalent of linear momentum.
Angular velocity refers to the rate of change of angular displacement with respect to time and has both magnitude and direction. Angular speed, on the other hand, refers to the rate of change of angular displacement with respect to time but does not consider direction and is scalar in nature. In simpler terms, angular velocity includes direction while angular speed does not.
The angular velocity of the minute hand can be calculated as 2π radians divided by the time it takes to complete one full revolution, which is 60 minutes. Therefore, the angular velocity of the minute hand is π/30 radians per minute.
The direction of angular velocity in a rotating wheel can be found using the right-hand rule. If you curl your fingers in the direction the wheel is rotating, then your thumb points in the direction of the angular velocity vector. This rule helps determine whether the angular velocity is clockwise or counterclockwise relative to the rotation.
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...
Angular velocity means how fast something rotates. The exact definition of angular momentum is a bit more complicated, but it is the rotational equivalent of linear momentum. It is the product of moment of inertia and angular speed.