Calculating the Velocity of a Baseball Throw: Can You Solve This Problem?

In summary, the question asks for the velocity of a baseball being thrown by a man, given the distance from his shoulder socket to the ball, the distance from his shoulder socket to the muscles moving his arm forward, and the velocity at which the muscles are shortening. The calculations involve finding the ratio between the distances and using similar figures to determine the velocity of the ball. The answer should be expressed in meters per second, rounded to the nearest tenth.
  • #1
Searchme
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Homework Statement



1. Consider a man throwing a baseball. Given the following, calculate the velocity of the ball as it leaves his hand:
1. The distance from his shoulder socket (humeral head) to the ball is 70 cm.
2. The distance from his humeral head to the points of insertion of the muscles moving his arm forward is 9 cm (this is a simplification, as the shoulder is a complex joint).
3. The velocity of the muscle shortening is 2.6 m/sec..

Show your calculations neatly in the space provided to receive credit for your answer.
Express your answer in m /sec., and round your answer to the nearest tenth.

Homework Equations



Velocity = Distance / Time ?

The Attempt at a Solution



Here is my first attempt at this problem: 2.6 m/ sec = 260 cm/ sec.

70 - 9 = 61 cm

61 cm / 260 cm per second = 0.23 m /second?

Can anybody help me on how I should start this question? I would like to know how to start so I can begin to wrap my brain at it. Thank you. P.S. I don't know really know anything about velocity other than what I wrote above. Thank you!
 
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  • #2
Here is my first attempt at this problem: 2.6 m/ sec = 260 cm/ sec.

70 - 9 = 61 cm

61 cm / 260 cm per second = 0.23 m /second?
 
  • #3
Searchme said:

Homework Statement



1. Consider a man throwing a baseball. Given the following, calculate the velocity of the ball as it leaves his hand:
1. The distance from his shoulder socket (humeral head) to the ball is 70 cm.
2. The distance from his humeral head to the points of insertion of the muscles moving his arm forward is 9 cm (this is a simplification, as the shoulder is a complex joint).
3. The velocity of the muscle shortening is 2.6 m/sec..

Show your calculations neatly in the space provided to receive credit for your answer.
Express your answer in m /sec., and round your answer to the nearest tenth.


Homework Equations



Velocity = Distance / Time ?

The Attempt at a Solution



Here is my first attempt at this problem: 2.6 m/ sec = 260 cm/ sec.

70 - 9 = 61 cm

61 cm / 260 cm per second = 0.23 m /second?

Can anybody help me on how I should start this question? I would like to know how to start so I can begin to wrap my brain at it. Thank you. P.S. I don't know really know anything about velocity other than what I wrote above. Thank you!

Is there a drawing that goes with this question? It sounds like a geometry-type question, but it's hard to visualize what they are describing.
 
  • #4
berkeman said:
Is there a drawing that goes with this question? It sounds like a geometry-type question, but it's hard to visualize what they are describing.

No. Unfortunately no. I cannot believe my professor is even asking me to solve this question. But I will post some up a little later to assist you with the Human anatomy part of this problem.
 
  • #5
Someone wrote me this:

Make yourself a diagram of this, and assume that the "man" keeps his arm straight while throwing the ball. (If he bends his elbow, all bets are off.) You'll see that you have a couple of similar figures: one with the portion of the arm between the socket and the point of attachment to the muscle, the other from the socket to the ball. One side of the smaller one (the muscle) is shrinking at 2.6 m/s. Given that, figure out how fast the ball is moving. Remember how similar figures work (sophomore geometry).

I'm still trying to digest it.
 

FAQ: Calculating the Velocity of a Baseball Throw: Can You Solve This Problem?

What is the relationship between baseball and velocity?

The relationship between baseball and velocity is that velocity, or the speed at which an object moves, is a crucial factor in the game of baseball. The speed at which a pitcher throws a ball and the speed at which a batter hits a ball determines the outcome of many plays in a game.

How is velocity measured in baseball?

Velocity in baseball is typically measured in miles per hour (mph). This is done using a radar gun, a device that uses the Doppler effect to measure the speed of an object.

What factors can affect the velocity of a baseball?

Several factors can affect the velocity of a baseball, including the strength and technique of the pitcher, the weight and design of the ball, and environmental conditions such as wind or temperature.

What is the fastest recorded pitch in baseball history?

The fastest recorded pitch in baseball history was thrown by Aroldis Chapman in 2010, clocking in at 105.1 mph. However, it is worth noting that this speed was recorded using a different method than the current standard, so it is not an official record.

How does velocity impact the game of baseball?

The velocity of a pitch can make it more difficult for a batter to hit, increasing the chances of a strikeout. On the other hand, a higher velocity can also make it easier for a batter to hit a home run if they make contact with the ball. Additionally, fast baserunners can use their speed to steal bases and score runs, making velocity a crucial factor in the overall strategy of the game.

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