mya asked in Science & MathematicsPhysics · 3 weeks ago

Physics UT Quest help?

An athlete swings a 3.61 kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.7 m at an angular speed of 0.56 rev/s.

If the maximum tension the rope can with- stand before breaking is 135 N, what is the maximum tangential speed the ball can have?Answer in units of m/s.

1 Answer

Relevance
  • 3 weeks ago

    An athlete swings a 3.61 kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.7 m at an angular speed of 0.56 rev/s.

    If the maximum tension the rope can with- stand before breaking is 135 N, what is the maximum tangential speed the ball can have?Answer in units of m/s.

    More information is provided than is needed,  We know the outward force = mass*V²/r where V is the "tangential speed."

    135 = m*V²/r OR V² = 135*r/m = 135*0.7/3.61 = 5.12²

    Vmax = 5.12m/s or about 5m/s

Still have questions? Get your answers by asking now.