physics

posted by .

A person swings a 0.33 kg tether ball tied to a 5.4 m rope in an approximately horizontal circle.

(a) If the maximum tension the rope can withstand before breaking is 11 N, what is the maximum angular speed of the ball?

--I figured out the rest of the problem and i just need help with this. thanks

  • physics -

    gravity force down = .33 * 9.8 = 3.23 N
    If approximately horizontal assume swing radius = 5.4 m
    m v^2/r = m w^2 r = .33*w^2*5.4 = 1.78 w^2

    11 = sqrt (3.23^2 + 1.78^2 w^2)
    121 = 10.4 + 3.18 w^2
    w^2 = 110.5/3.18 = 34.77
    w = 5.9 radians/second

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics

    a rope can withstand a maximum tension force of 450n before breaking if we use the rope to pull a 32kg bucket of water from a well what is the maximum acceleration upward we can use without breaking the rope
  2. Physics

    A person swings a 0.33 kg tether ball tied to a 5.4 m rope in an approximately horizontal circle. (a) If the maximum tension the rope can withstand before breaking is 11 N, what is the maximum angular speed of the ball?
  3. Physics

    A rope can withstand a maximum tension of 75 N before snapping . What maximum speed can you spin a 6.0 kg rock in a vertical circle of radius 1.5 m without breaking the rope?
  4. physics

    An athlete swings a 4.30 kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.790 m at an angular speed of 0.590 rev/s. (a) What is the tangential speed of the ball?
  5. physics

    A mass hangs on the end of a massless rope. The pendulum is held horizontal and released from rest. When the mass reaches the bottom of its path it is moving at a speed v = 2.3 m/s and the tension in the rope is T = 22.4 N. 1. What …
  6. physics

    A person whose weight is 507 N is being pulled up vertically by a rope from the bottom of a cave that is 30.1 m deep. The maximum tension that the rope can withstand without breaking is 590 N. What is the shortest time, starting from …
  7. College Physics

    A rope can withstand a maximum tension force of 500N before breaking. If we use the rope to pull a 24 kg bucket of water from a well, what is the maximum acceleration upward we can use without breaking the rope?
  8. Physics Circular Motion

    A 0.75-kg ball is attached to a 1.0-m rope and whirled in a vertical circle. The rope will break when the tension exceeds 450 N. What is the maximum speed the ball can have at the bottom of the circle without breaking the rope?
  9. physics

    A 56-kg student runs at 4.2 m/s , grabs a hanging 10.0-m-long rope, and swings out over a lake (Figure 1) . He releases the rope when his velocity is zero. What is the angle θ when he releases the rope?
  10. Physics

    A 56kg student runs at 5m/s, grabs a hanging rope, swings out over a lake. He releases the rope when his velocity is zero. The angl when he releases the rope is 29.25degrees. What is the tension in the rope just before he releases …

More Similar Questions