physics

posted by kayla

A little boy jumps onto a small merry-go-round(radius 2.00m) in a park that rotates for 2.30s through an arc length of 2.55 before coming to rest. If he landed( and stayed at a distance of 1.75 , frp, tje cemtral axis of rotation of the merry-go-round, what was his average angular speed and average tangential speed?

I got one answer and that is v=1.11m/s but I cant get the other answer.

  1. Scott

    angular ... 2.55 rad / 2.30 s

  2. Damon

    I think the arc length is the distance along the circumference here.
    r theta = 2.55
    theta = 2.55/2 = 1.275 radians
    so I get
    omega = 1.275/2.30 = 0.554 radians/second

    he went from 0 to 0.554 rad/s so his average omega is 0.277 rad/s
    so v = omega r
    = 0.277 * 1.75 = 0.485 meters/s

Respond to this Question

First Name

Your Answer

Similar Questions

  1. physics

    A disk-shaped merry-go-round of radius 2.63 m and mass 155 kg rotates freely with an angular speed of 0.596 rev/s. A 59.4 kg person running tangential to the rim of the merry-go-round at 3.68 m/s jumps onto its rim and holds on. Before …
  2. Physics

    In a playground, there is a small merry-go-round of radius 1.20 m and mass 190 kg. Its radius of gyration (see Problem 85 of Chapter 10) is 91.0 cm. A child of mass 44.0 kg runs at a speed of 4.50 m/s along a path that is tangent to …
  3. 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, …
  4. Physics

    A merry-go-round with r = 4m and a perfect frictionless bearing is pushed with a force of 24 N by a young girl. She pushes with a constant force that is oriented tangentially to the edge of the merry-go-round. After she pushes the …
  5. physics

    In a playground there is a small merry-go-round of radius 1.40 m and mass 140 kg. The radius of gyration is 0.960 m. A child of mass 43.0 kg runs at a speed of 3.70 m/s tangent to the rim of the merry-go-round while it is at rest, …
  6. physics

    A playground merry-go-round has a radius 2.6 m and a rotational inertia 83 kg.m^2. When the merry-go-round is at rest, a child with mass 27 runs with speed 4.3 along a line tangent to the rim and jumps on. The angular velocity of the …
  7. Physics

    A 20-kg child running at 1.4 m/s jumps onto a playground merry-go-round that has inertia 180 kg and radius 1.6 m. She is moving tangent to the platform when she jumps, and she lands right on the edge. Ignore any friction in the axle …
  8. physics

    A child of mass 52 kg jumps onto the edge of a merry-go-round of mass 170 kg and radius 1.9 m that is initially at rest as sketched in the figure below. While in the air (during her jump), the child's linear velocity in the direction …
  9. Physics

    A merry-go-round is a common piece of playground equipment. A 6.42m diameter merry-go-round with a mass of 648.0kg is spinning at 39.4rpm. John runs tangent to the merry-go-round at 6.36m/s, in the same direction that it is turning, …
  10. physics help please

    A 33kg child named Lindsey runs as fast as she can and jumps onto the outer edge of a merry-go-round. The merry-go-round is initially at rest and has a mass of 78kg and a radius of 2.20m. Lindsey's linear velocity was 9 m/s at the …

More Similar Questions