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Circular Motion. Centripetal Force. video. Angles can be measured in RADIANS. The angle in radians is s/r which is the length of the arc divided by the radius One full circle = 2
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Circular Motion Centripetal Force
Angles can be measured in RADIANS The angle in radians is s/r which is the length of the arc divided by the radius One full circle = 2đťś‹ radians i.e. 360o = 2đťś‹ radians
Angular velocity (𝝎) is the rate of change of angle during circular motion in radians /sec (𝝷/t) For a full circle 𝝎 = 2 ( T is the time period of the rotation 1/T = the frequency of rotation. f = 1/T 𝝎 = 2𝜋f Linear speed (v) and (𝝎) are linked by the equation (v = r𝝎)
The speed is always constant in the direction to the tangent at any point on the circumference but he direction is always changing towards the centre of the circle. The acceleration is always towards the centre of the circle
Centripetal acceleration towards the centre of the circle = v2/r or 𝝎2r According to Newton’s second law F = ma therefore centripetal force = mv2/r or m𝝎2r