Question
Download Solution PDFA body of mass 5 kg is rotating with angular velocity 10 rad/s in a circular path of radius 0.1 m. Determine the centrifugal force acting on the body.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Centrifugal force:
Centrifugal force is the force that acts on an object moving along a curved path and this force acts in a direction away from the center of rotation. The centrifugal force acting on an object tracing a circular path is given as:
\(F_c = \frac{mV^2}{r}\)
where m is the mass of the object, V is the velocity of the object and r is the radius of the circular path.
Calculation:
Given:
m = 5 kg, ω = 10 rad/s, r = 0.1 m.
\(F_c = \frac{mV^2}{r}\)
V = rω
∴ Fc = mrω2 = 5 × 0.1 × 102 = 50 N
∴ The centrifugal force acting on the body is 50 N
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