Consider an object of mass m moving with constant speed v in a circle of radius

Question

Consider an object of mass m moving with constant speed v in a circle of radius r. Part (a) What is the algebraic expression for the centripetal acceleration ac of the object in terms of its speed v and radius r? (Use any variable stated in this part.) ac =    Correct: Your answer is correct. v^2/r
Part (b) If the period of rotation of the object is T, what is the algebraic expression for the speed v in terms of T and r? (Use any variable stated in this part.) v =    Correct: Your answer is correct. 2*pi*r/T
Part (c) Based on your answers to parts (a) and (b), what is the algebraic expression for the centripetal acceleration in terms of the period T and radius r? (Use any variable stated in this part.) ac =    Correct: Your answer is correct. 4*pi^2*r/T^2
Part (d) What is the algebraic expression for the centripetal force acting on the mass m in terms of the radius r and the frequency of rotation f? (Use any variable stated in this part.) Fc =    A little help with this last one anybody? Thanks Consider an object of mass m moving with constant speed v in a circle of radius r. Part (a) What is the algebraic expression for the centripetal acceleration ac of the object in terms of its speed v and radius r? (Use any variable stated in this part.) ac =    Correct: Your answer is correct. v^2/r
Part (b) If the period of rotation of the object is T, what is the algebraic expression for the speed v in terms of T and r? (Use any variable stated in this part.) v =    Correct: Your answer is correct. 2*pi*r/T
Part (c) Based on your answers to parts (a) and (b), what is the algebraic expression for the centripetal acceleration in terms of the period T and radius r? (Use any variable stated in this part.) ac =    Correct: Your answer is correct. 4*pi^2*r/T^2
Part (d) What is the algebraic expression for the centripetal force acting on the mass m in terms of the radius r and the frequency of rotation f? (Use any variable stated in this part.) Fc =    A little help with this last one anybody? Thanks Consider an object of mass m moving with constant speed v in a circle of radius r. Part (a) What is the algebraic expression for the centripetal acceleration ac of the object in terms of its speed v and radius r? (Use any variable stated in this part.) ac =    Correct: Your answer is correct. v^2/r
Part (b) If the period of rotation of the object is T, what is the algebraic expression for the speed v in terms of T and r? (Use any variable stated in this part.) v =    Correct: Your answer is correct. 2*pi*r/T
Part (c) Based on your answers to parts (a) and (b), what is the algebraic expression for the centripetal acceleration in terms of the period T and radius r? (Use any variable stated in this part.) ac =    Correct: Your answer is correct. 4*pi^2*r/T^2
Part (d) What is the algebraic expression for the centripetal force acting on the mass m in terms of the radius r and the frequency of rotation f? (Use any variable stated in this part.) Fc =    A little help with this last one anybody? Thanks

Explanation / Answer

centripetal force = F = 4*(pi^2)*r*m*(f^2)

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