### Understanding Linear Velocity on a Rotating Disk**Diagram Explanation:**The image shows a rotating disk with two distinct points labeled as 1 and 2. Point 1 is located at a radius of 5 cm from the center, while point 2 is at a radius of 10 cm. The disk is rotating counterclockwise, as indicated by the black curved arrow, with an angular velocity of \(0.4 \, \text{radians/sec}\) denoted by the symbol \(\omega\).---**Problem Description:**- **Linear Velocity Calculation:** 1. **What is the linear velocity of the point with a radius of 5 cm?** - Answer box provided for input in cm/s. - Two submission attempts allowed. 2. **What is the linear velocity of the point at a radius of 10 cm?** - Answer box provided for input in cm/s. - Two submission attempts allowed.- **Comparative Analysis:** - How does the linear velocity at 5 cm compare with that at 10 cm? How do the angular velocities compare at 5 cm and 10 cm? - Multiple-choice options provided: - 5 cm and 10 cm have the same linear velocity, but 10 cm has a higher angular velocity. - 5 cm and 10 cm have the same linear velocity and angular velocity. - 5 cm and 10 cm have the same angular velocity, but 10 cm has a higher linear velocity. - 10 cm has both the higher angular velocity and the higher linear velocity.- **Angular Acceleration Analysis:** - If the rotating disk is speeding up, which of the following is true about the angular acceleration, \(\alpha\)? - 10 cm has a larger angular acceleration, \(\alpha\), than 5 cm. - 5 cm has a larger angular acceleration, \(\alpha\), than 10 cm. - 5 cm and 10 cm have the same angular acceleration, \(\alpha\).---This educational exercise helps in understanding the concepts of angular velocity, linear velocity, and angular acceleration in rotational dynamics.

Given data: Radius of point 1, r1=5.0 cm = 0.05 m Radius of point 2, r2=10 cm = 0.10 m Angular…

There are two points or on a disk with point 1 having a radius of 5 cm and point 2 has a radius of 1 cm. The disk in spinning at 0.4 radians/sec. What is the linear velocity of the point with a radius of 5 cm? cm/s Submit Answer Tries 0/2 What is the linear velocity of the point at a radius of 10 cm? cm/s Submit Answer Tries 0/2 How does the linear velocity at 5 cm compare with that at 10 cm? How does the angular velocity, w compare at 5 cm and 10 cm? 5 cm and 10 cm have the same linear velocity, but 10 cm has a higher angular velocity. 5 cm and 10 cm have the same linear velocity and angular velocity. 5 cm and 10 cm have the same angular velocity, but 10 cm has a higher linear velocity. 10 cm has both the higher angular velocity and the higher linear velocity. Submit Answer Tries 0/2 Now, lets say that the rotating disk is speeding up. What is true of the angular acceleration, a? 10 cm has a larger angular acceleration, a than 5 cm. 5 cm has a larger angular acceleration, a than 10 cm. 5 cm and 10 cm have the same angular acceleration, a.

There are two points or on a disk with point 1 having a radius of 5 cm and point 2 has a radius of 1 cm. The disk in spinning at 0.4 radians/sec. What is the linear velocity of the point with a radius of 5 cm? cm/s Submit Answer Tries 0/2 What is the linear velocity of the point at a radius of 10 cm? cm/s Submit Answer Tries 0/2 How does the linear velocity at 5 cm compare with that at 10 cm? How does the angular velocity, w compare at 5 cm and 10 cm? 5 cm and 10 cm have the same linear velocity, but 10 cm has a higher angular velocity. 5 cm and 10 cm have the same linear velocity and angular velocity. 5 cm and 10 cm have the same angular velocity, but 10 cm has a higher linear velocity. 10 cm has both the higher angular velocity and the higher linear velocity. Submit Answer Tries 0/2 Now, lets say that the rotating disk is speeding up. What is true of the angular acceleration, a? 10 cm has a larger angular acceleration, a than 5 cm. 5 cm has a larger angular acceleration, a than 10 cm. 5 cm and 10 cm have the same angular acceleration, a.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

### Understanding Linear Velocity on a Rotating Disk

**Diagram Explanation:**
The image shows a rotating disk with two distinct points labeled as 1 and 2. Point 1 is located at a radius of 5 cm from the center, while point 2 is at a radius of 10 cm. The disk is rotating counterclockwise, as indicated by the black curved arrow, with an angular velocity of \(0.4 \, \text{radians/sec}\) denoted by the symbol \(\omega\).

---

**Problem Description:**

- **Linear Velocity Calculation:**
1. **What is the linear velocity of the point with a radius of 5 cm?**
- Answer box provided for input in cm/s.
- Two submission attempts allowed.

2. **What is the linear velocity of the point at a radius of 10 cm?**
- Answer box provided for input in cm/s.
- Two submission attempts allowed.

- **Comparative Analysis:**
- How does the linear velocity at 5 cm compare with that at 10 cm? How do the angular velocities compare at 5 cm and 10 cm?
- Multiple-choice options provided:
- 5 cm and 10 cm have the same linear velocity, but 10 cm has a higher angular velocity.
- 5 cm and 10 cm have the same linear velocity and angular velocity.
- 5 cm and 10 cm have the same angular velocity, but 10 cm has a higher linear velocity.
- 10 cm has both the higher angular velocity and the higher linear velocity.

- **Angular Acceleration Analysis:**
- If the rotating disk is speeding up, which of the following is true about the angular acceleration, \(\alpha\)?
- 10 cm has a larger angular acceleration, \(\alpha\), than 5 cm.
- 5 cm has a larger angular acceleration, \(\alpha\), than 10 cm.
- 5 cm and 10 cm have the same angular acceleration, \(\alpha\).

---

This educational exercise helps in understanding the concepts of angular velocity, linear velocity, and angular acceleration in rotational dynamics.

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