an object of mass m moves with a uniform speed v round a circular path of radius r.if its angular speed is g the magnitude of the centripetal force acting on it is?
To find the magnitude of the centripetal force acting on an object moving in a circular path, you can use the formula:
F = (m * v^2) / r
where:
- F is the magnitude of the centripetal force
- m is the mass of the object
- v is the uniform speed of the object
- r is the radius of the circular path
In this case, the angular speed (ω) is given, which is related to the linear speed (v) and radius (r) by the equation:
v = ω * r
Substituting this relationship into the centripetal force formula, we have:
F = (m * (ω * r)^2) / r
Simplifying further, we get:
F = m * ω^2 * r
Therefore, the magnitude of the centripetal force acting on the object is F = m * ω^2 * r.