# physics

posted by .

A merry-go-round revolves at a rate of 8.3 rev/min. A child who is seated at the outer edge of the merry-go-round travels at 6.9m/s. What is the diameter of the merry-go-round?

• physics -

v =ω•R = ω•D/2.
ω = 2•π•f ,
f = 8.3 rev/min = 8.3/60 =0.138 rev/s
D = 2•v/ ω = 2•v/ 2•π•f ω =
= 6.9/(3.14•0.138)=15.9 m

## Similar Questions

1. ### physics

A merry go round in the park has a radius of 1.8 m and a rotational inertia of 900 kg-m^2. A child pushes the merry go round with a constant force of 80 N applied at the edge and parrallel to the edge. A frictional torque of 12 Nm …
2. ### Physics

A merry-go-round in the park has a radius of 1.8 m and a rotational inertia of 900 kgm^2. A child pushes the merry-go-round with a constant force of 80 N applied at the edge and parallel to the edge. A frictional torque of 12 Nm acts …
3. ### Physics Inertia : Merry-go-round

A playground merry-go-round of radius 1.96 m has a moment of inertia 335 kg m2 and is rotating at 12.3 rev/min. A child with mass 43.1 kg jumps on the edge of the merry-go-round. What is the new moment of inertia of the merry-go-round …
4. ### Physics: merry-go-round question

A playground merry-go-round of radius 1.92 m has a moment of inertia 411 kg m2 and is rotating at 10.4 rev/min. A child with mass 38.3 kg jumps on the edge of the merry-go-round. Assuming that the boy's initial speed is negligible, …
5. ### physics

A merry-go-round in the park has a radius of 1.8 m and a rotational inertia of 900kgm^2. A child pushes the merry-go-round with a constant force of 80 N applied at the edges and parallel to the edge. A frictional torque of 12 Nm acts …
6. ### physics

A merry-go-round in a playground has a mass of 200 kg and radius of 1.50 m. You apply a force F = 23 N tangentially to the edge of the merry-go-round for a time of 6.5 s. The moment of inertia of the merry-go-round is 1/2(mR2). What …
7. ### physics

a child sits on the edge of a spinning merry-go-round 3.2 m from its center. The coefficient of static friction between the child's bottom and the surface of the merry-go-round is .8. Find the maximum rate in revolutions per seconds, …
8. ### physics

A playground merry-go-round of radius 2.00 m has a moment of inertia I = 255 kg·m2 and is rotating about a frictionless vertical axle. As a child of mass 25.0 kg stands at a distance of 1.00 m from the axle, the system (merry-go-round …
9. ### Physics

A playground merry-go-round of radius R = 1.92m has a moment of inertia of I = 221kgm^2 and is rotating at 14.0rev/min about a frictionless vertical axle. Facing the axle, a 29.8kg child hops onto the merry-go-round and manages to …
10. ### physics

A playground merry-go-round of radius R = 1.1 m has a moment of inertia of I = 280 kg*m^2. and is rotating at a rate of ω = 9 rev/min around a frictionless vertical axis. Facing the axle, a 37 kg child hops onto the merry-go-round …

More Similar Questions