physics

A baseball pitcher throws a baseball horizontally at a linear speed of 50.6 m/s. Before being caught, the baseball travels a horizontal distance of 24.9 m and rotates through an angle of 54.5 rad. The baseball has a radius of 3.43 cm and is rotating about an axis as it travels, much like the earth does. What is the tangential speed of a point on the "equator" of the baseball?

I'm confused as to how to start this problem.

  1. 👍 0
  2. 👎 0
  3. 👁 346
  1. Quite a few assumptions have to be made as the question does not clarify them, and left them as "taken for granted".
    1. The tangential speed is required at the moment the ball was caught.
    2. the rotation of the ball was about an axis perpendicular to the direction of flight.
    3. the maximum tangential speed is sought, namely at a point on the "equator" of the ball that is in the same direction as the translational motion of the ball.
    4. All interaction with air (resistance) is neglected.

    With the above assumptions in mind, we can proceed as follows:

    1. using kinematics equations, find the duration of flight,t, using
    Δx=vx&(t)
    where
    vx=50.6 m/s
    Δx=24.9 m
    both given in the question.
    2. Find the vertical velocity (downwards, therefore negative) at time t. Since ball is subject to gravity,
    vy=0+(1/2)gt²
    vy=vertical velocity
    t=time found in (1) above
    g=acceleration due to gravity=9.8 m/s²
    3. Find rotation velocity, ω
    ω=54.5 radians /t
    4. Find tangential speed due to rotation
    vt=rω
    where
    r=radius of ball
    = 3.43 cm
    = 0.0343 m
    5. Find total tangential speed at time t
    At the moment the ball was caught, the ball was travelling at vx horizontally, vy vertically and vt tangentially.
    vx and vy can be combined using Pythagoras theorem. The resulting maximum velocity V can then be combined with the tangential velocity by scalar addition.
    V=√(vx²+vy²)+vt

    Work through the steps, and post if you have questions or if clarifications are required.

    1. 👍 0
    2. 👎 0
  2. *
    Δx=(vx)(t)
    g=acceleration due to gravity=-9.8 m/s²

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    A baseball pitcher throws a baseball horizontally at a linear speed of 41.3 m/s. Before being caught, the baseball travels a horizontal distance of 15.4 m and rotates through an angle of 52.7 rad. The baseball has a radius of 3.74

    asked by Anonymous on April 9, 2014
  2. physics

    A baseball pitcher throws a baseball with a speed of 48 m/s . In throwing the baseball, the pitcher accelerates it through a displacement of about 3.5 m, from behind the body to the point where it is released how long was it in

    asked by linds on January 21, 2016
  3. h.s physics

    a baseball pitcher throws a baseball with a speed of 38m/s. estimate the average acceleration of the ball during the throwing motion,. in throwing the baseball, the pitcher accelerates the ball through a displacement of about 3.5

    asked by JACK on April 15, 2012
  4. physics help !

    a baseball pitcher throws a baseball with a speed of 38m/s. estimate the average acceleration of the ball during the throwing motion,. in throwing the baseball, the pitcher accelerates the ball through a displacement of about 3.5

    asked by JACK 33 on April 15, 2012
  5. h.s. physics

    a baseball pitcher throws a baseball with a speed of 38m/s. estimate the average acceleration of the ball during the throwing motion,. in throwing the baseball, the pitcher accelerates the ball through a displacement of about 3.5

    asked by JACK on April 15, 2012
  1. college

    A baseball pitcher throws a baseball with a speed of 38 . In throwing the baseball, the pitcher accelerates the ball through a displacement of about 3.5 , from behind the body to the point where it is released Estimate the average

    asked by Anonymous on September 20, 2010
  2. physic

    a baseball pitcher throws a baseball with a speed of 4m/s.Estimate the average acceleration of the ball during the throwing motion.In throwing the baseball,the pitcher accelerates the ball through a displacement of about 3.5m,from

    asked by noah on June 23, 2011
  3. Gen physics

    A 55.0 kg high school baseball pitcher is holding a 149 g baseball as he slides horizontally on a frictionless surface with a velocity of +2.15 m/s, relative to the surface. He then throws the baseball with a velocity of +46.7 m/s

    asked by No clue on this one on July 16, 2013
  4. Physics

    Now assume that the pitcher in Part D throws a 0.145-kg baseball parallel to the ground with a speed of 32 m/s in the +x direction. The batter then hits the ball so it goes directly back to the pitcher along the same straight

    asked by Eden on October 24, 2010
  5. college physics

    Now assume that the pitcher throws a 0.145 kg baseball parallel to the ground with a speed of 32 m/s in the +x direction. The batter then hits the ball so it goes directly back to the pitcher along the same straight line. What is

    asked by Anonymous on March 11, 2010

More Similar Questions