### Problem Statement1. The propeller of a World War II fighter plane is 2.1 m in diameter.#### (a) Calculate the Angular Velocity- **What is its angular velocity in radians per second if it spins at 1300 revolutions per minute (rev/min)?** \[ \omega = \text{______ rad/s} \]#### (b) Determine the Linear Speed- **What is the linear speed of its tip at this angular velocity if the plane is stationary on the tarmac?** \[ v = \text{______ m/s} \]#### (c) Calculate the Centripetal Acceleration- **What is the centripetal acceleration of the propeller tip under these conditions? Calculate it in meters per second squared.** \[ a_c = \text{______ m/s}^2 \]- **Compare the centripetal acceleration to the acceleration due to gravity \( g \). Is the centripetal acceleration very large or very small compared to \( g \)?** \[ \frac{a_c}{g} = \text{______} \]### Explanation- **Angular Velocity Calculation**: Convert revolutions per minute to radians per second.- **Linear Speed Calculation**: Use the formula \( v = \omega \times r \), where \( r \) is the radius.- **Centripetal Acceleration Calculation**: Use the formula \( a_c = v^2 / r \).- **Comparison to Gravity**: Compare \( a_c \) to \( g \) (9.81 m/s²) to assess the magnitude of the centripetal acceleration.

Given: diameter of plane, D = 2.1 m ; angular velocity, w =1300 rev/min Find : (a) angular velocity…

1. The propeller of a World War II fighter plane is 2.1 m in diameter. (a) What is its angular velocity in radians per second if it spins at 1300 rev/min? rad/s @= (b) What is the linear speed of its tip at this angular velocity if the plane is stationary on the tarmac? m/s V= (c) What is the centripetal acceleration of the propeller tip under these conditions? Calculate it in meters per second squared ac= m/s² Compare the centripetal acceleration to the acceleration due to gravity g. Is the centripetal acceleration very large or very small compared to g? ac g

1. The propeller of a World War II fighter plane is 2.1 m in diameter. (a) What is its angular velocity in radians per second if it spins at 1300 rev/min? rad/s @= (b) What is the linear speed of its tip at this angular velocity if the plane is stationary on the tarmac? m/s V= (c) What is the centripetal acceleration of the propeller tip under these conditions? Calculate it in meters per second squared ac= m/s² Compare the centripetal acceleration to the acceleration due to gravity g. Is the centripetal acceleration very large or very small compared to g? ac g

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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