The equations governing this motion are given below. Let’s say the time is denoted by “t”, present angular velocity by ω, initial velocity by, and the angle covered by the object by θ. Kinematic Equations for Rotational Motionįor an object rotating with an angular acceleration α. Displacement “s” is analogous to angle of rotation( θ), acceleration(a) is analogous to angular acceleration( α). Now, in the case of rotational motion, velocity(v) corresponds to the angular velocity( ω). Keep in mind that these equations are only for situations where acceleration “a” is constant and the object is moving in a straight line. Let’s say the time is denoted by “t”, present velocity by “v”, initial velocity by “u” and the distance covered by the object by “s”. Rotationalįor an object moving with an acceleration “a”. The table below represents some analogous quantities. These equations are called kinematic equations of rotational motion.
A similar approach can be used in rotational motion. These parameters can be calculated using the kinematics of linear motion.
This situation is similar to a vehicle moving on a road with some acceleration and attaining some velocity. In terms of the formal notation, it can be said that a wheel having a large α ends up rotating at a large angle through a number of revolutions ( θ). Consider a wheel that starts spinning with angular acceleration and covers many revolutions. Let’s see how the equation of motion relates to the equations of rotational motion. Rotational quantities such as angle θ, angular velocity ω, and angular acceleration α.
Seawater viscosity is calculated from fresh water viscosity using the equation from Sharqawy (2010).
#Kinematic equation calculator plus#
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