The motor of a table saw is rotating at 3450 rev/min. A pulley attached to the motor shaft drives a second pulley of half the diameter by means of a V-belt. A circular saw blade of diameter 0.208 m is mounted on the same rotating shaft as the second pulley. Constants Part A The operator is careless and the blade catches and throws back a small piece of wood. This piece of wood moves with linear speed equal to the tangential speed of the rim of the blade. What is this speed? ΠΠΑΣΦΑ 4 C awd ? m/s Request Answer ▾ Part B Calculate the radial acceleration of points on the outer edge of the blade to see why sawdust doesn't stick to its teeth. -- ΑΣΦ ← → C ? m/s² Request Answer v= Submit Gr Submit
Angular Momentum
The momentum of an object is given by multiplying its mass and velocity. Momentum is a property of any object that moves with mass. The only difference between angular momentum and linear momentum is that angular momentum deals with moving or spinning objects. A moving particle's linear momentum can be thought of as a measure of its linear motion. The force is proportional to the rate of change of linear momentum. Angular momentum is always directly proportional to mass. In rotational motion, the concept of angular momentum is often used. Since it is a conserved quantity—the total angular momentum of a closed system remains constant—it is a significant quantity in physics. To understand the concept of angular momentum first we need to understand a rigid body and its movement, a position vector that is used to specify the position of particles in space. A rigid body possesses motion it may be linear or rotational. Rotational motion plays important role in angular momentum.
Moment of a Force
The idea of moments is an important concept in physics. It arises from the fact that distance often plays an important part in the interaction of, or in determining the impact of forces on bodies. Moments are often described by their order [first, second, or higher order] based on the power to which the distance has to be raised to understand the phenomenon. Of particular note are the second-order moment of mass (Moment of Inertia) and moments of force.
9.70
![## Problem 9.70
**Context**:
The motor of a table saw is rotating at 3450 rev/min. A pulley attached to the motor shaft drives a second pulley of half the diameter by means of a V-belt. A circular saw blade of diameter 0.208 m is mounted on the same rotating shaft as the second pulley.
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### Part A
**Question**:
The operator is careless and the blade catches and throws back a small piece of wood. This piece of wood moves with a linear speed equal to the tangential speed of the rim of the blade. What is this speed?
**Input Field**:
\[ \nu = \ \boxed{\ \ } \text{ m/s} \]
*Submit Button*:
[Submit]
*Request Answer Button*:
[Request Answer]
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### Part B
**Question**:
Calculate the radial acceleration of points on the outer edge of the blade to see why sawdust doesn't stick to its teeth.
**Input Field**:
\[ a_{\text{R}} = \ \boxed{\ \ } \text{ m/s}^2 \]
*Submit Button*:
[Submit]
*Request Answer Button*:
[Request Answer]
---
**Explanation**:
This problem involves understanding rotational motion, specifically the relationship between angular velocity and linear speed, as well as radial (centripetal) acceleration. The given rotational speed needs to be converted into linear speed for part A, and the centripetal acceleration equation will be used for part B.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fddf14729-dbf2-4574-b793-bebd8df9c378%2F857d0c9b-cf6b-4fa6-9fd1-9ddf805a58cc%2Fx84znb_processed.png&w=3840&q=75)
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