A merry-go-round has a mass of 1470 kg and a radius of 6.80 m Part A How much net work is required to accelerate it from rest to a rotation rate of 1.00 revolution per 7.70 s ? Assume it is a solid cylinder. Express your answer using three significant figures and include the appropriate units. HA W = Value Units

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Title: Calculating Net Work for a Merry-Go-Round

**Scenario:**

A merry-go-round has a mass of 1470 kg and a radius of 6.80 m.

**Problem (Part A):**

Determine the amount of net work required to accelerate the merry-go-round from rest to a rotation rate of 1.00 revolution per 7.70 seconds. For the purpose of this calculation, assume the merry-go-round is a solid cylinder.

**Instructions:**

- Express your answer using three significant figures.
- Include the appropriate units in your final answer.

**Calculation Area:**

\[ W = \text{Value} \quad \text{Units} \]

**Note:**

In this problem, you will apply the concepts of rotational motion and work-energy principles for a rigid body to determine the work done on the system. Be sure to consider the moment of inertia for a solid cylinder in your calculations.
Transcribed Image Text:Title: Calculating Net Work for a Merry-Go-Round **Scenario:** A merry-go-round has a mass of 1470 kg and a radius of 6.80 m. **Problem (Part A):** Determine the amount of net work required to accelerate the merry-go-round from rest to a rotation rate of 1.00 revolution per 7.70 seconds. For the purpose of this calculation, assume the merry-go-round is a solid cylinder. **Instructions:** - Express your answer using three significant figures. - Include the appropriate units in your final answer. **Calculation Area:** \[ W = \text{Value} \quad \text{Units} \] **Note:** In this problem, you will apply the concepts of rotational motion and work-energy principles for a rigid body to determine the work done on the system. Be sure to consider the moment of inertia for a solid cylinder in your calculations.
**Part A**

What is the angular momentum of a 3.0-kg uniform cylindrical grinding wheel of radius 29 cm when rotating at 1500 rpm?

*Express your answer using three significant figures and include the appropriate units.*

\( L = \) 

[Value] [Units]

[Submit] [Request Answer]

---

**Part B**

How much torque is required to stop it in 7.0 s?

*Express your answer using three significant figures and include the appropriate units.*

\(|\tau| = \)

[Value] [Units]

[Submit] [Request Answer]

---

These sections are questions on calculating angular momentum and torque. Each section asks for responses with three significant figures and appropriate units. Input fields and submission buttons are provided for answers.
Transcribed Image Text:**Part A** What is the angular momentum of a 3.0-kg uniform cylindrical grinding wheel of radius 29 cm when rotating at 1500 rpm? *Express your answer using three significant figures and include the appropriate units.* \( L = \) [Value] [Units] [Submit] [Request Answer] --- **Part B** How much torque is required to stop it in 7.0 s? *Express your answer using three significant figures and include the appropriate units.* \(|\tau| = \) [Value] [Units] [Submit] [Request Answer] --- These sections are questions on calculating angular momentum and torque. Each section asks for responses with three significant figures and appropriate units. Input fields and submission buttons are provided for answers.
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