A fast pitch softball player does a "windmill" pitch moving her hand through a vertical circular arc to pitch a ball at 73mph. The 0.20 kg ball is 52 cm from the pivot point at her shoulder. For the steps and strategies involved in solving a similar problem, you may view a Video Tutor Solution. ▼ Part A Just before the ball leaves her hand, what is its centripetal acceleration? Express your answer in meters per second squared. 15] ΑΣΦ ac = ? m/s²

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### Part B

At the lowest point of the circle, the ball has reached its maximum speed. What is the magnitude of the force her hand exerts on the ball at this point?

**Express your answer in newtons.**

\[ F = \quad \text{N} \]

---

This prompt involves calculating the force exerted by a hand on a ball that is at the lowest point in its circular motion. 

Students are asked to:
- Determine the force exerted at the lowest point of the circle where the ball's speed is at its maximum.

Key elements include:
- A text box for numerical input.
- Interface buttons for formatting mathematical text and symbols, with options to reverse, reset, or get help.

This exercise typically involves concepts from circular motion and dynamics, such as centripetal force and possibly gravitational force, depending on the context provided by the problem (not visible in this excerpt).
Transcribed Image Text:### Part B At the lowest point of the circle, the ball has reached its maximum speed. What is the magnitude of the force her hand exerts on the ball at this point? **Express your answer in newtons.** \[ F = \quad \text{N} \] --- This prompt involves calculating the force exerted by a hand on a ball that is at the lowest point in its circular motion. Students are asked to: - Determine the force exerted at the lowest point of the circle where the ball's speed is at its maximum. Key elements include: - A text box for numerical input. - Interface buttons for formatting mathematical text and symbols, with options to reverse, reset, or get help. This exercise typically involves concepts from circular motion and dynamics, such as centripetal force and possibly gravitational force, depending on the context provided by the problem (not visible in this excerpt).
### Centripetal Acceleration of a Softball in a Windmill Pitch

A fast pitch softball player does a "windmill" pitch by moving her hand through a vertical circular arc to pitch a ball at **73 mph**. The ball has a mass of **0.20 kg** and is positioned **52 cm** from the pivot point at her shoulder.

For the steps and strategies involved in solving a similar problem, you may view a [Video Tutor Solution](#).

#### Part A

**Question:**
Just before the ball leaves her hand, what is its centripetal acceleration?

**Instructions:**
Express your answer in meters per second squared (m/s²).

**Input:**
The input box allows you to type in your calculated centripetal acceleration (a_c).

**Equation:**
\[ a_c = \_\_\_\_\_\ \, \text{m/s}^2 \]

Use this information to determine the centripetal acceleration, remembering to convert all units to the International System of Units (SI Units) where necessary.

### Additional Details

- The speed **73 mph** needs to be converted to **meters per second (m/s)**.
- The radius **52 cm** should be converted to **meters (m)**.
Transcribed Image Text:### Centripetal Acceleration of a Softball in a Windmill Pitch A fast pitch softball player does a "windmill" pitch by moving her hand through a vertical circular arc to pitch a ball at **73 mph**. The ball has a mass of **0.20 kg** and is positioned **52 cm** from the pivot point at her shoulder. For the steps and strategies involved in solving a similar problem, you may view a [Video Tutor Solution](#). #### Part A **Question:** Just before the ball leaves her hand, what is its centripetal acceleration? **Instructions:** Express your answer in meters per second squared (m/s²). **Input:** The input box allows you to type in your calculated centripetal acceleration (a_c). **Equation:** \[ a_c = \_\_\_\_\_\ \, \text{m/s}^2 \] Use this information to determine the centripetal acceleration, remembering to convert all units to the International System of Units (SI Units) where necessary. ### Additional Details - The speed **73 mph** needs to be converted to **meters per second (m/s)**. - The radius **52 cm** should be converted to **meters (m)**.
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