We appreciate your visit to An airplane propeller is 1 98 m in length from tip to tip with mass 122 kg and is rotating at 3000 rpm rev min. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
The rotational kinetic energy of the propeller, modeled as a slender rod, is approximately 1,936,904 Joules, based on its moment of inertia and angular velocity.
To find the rotational kinetic energy, we use the formula:
Rotational Kinetic Energy (K) = (1/2) * I * ω²
First, we need to determine the moment of inertia (I) of the slender rod about its center:
I = (1/12) * m * L²
Where:
m = 122 kg
L = 1.98 m
I = (1/12) * 122 kg * (1.98 m)² = 39.19 kg•m²
Next, convert the angular velocity (ω) from rpm to rad/s:
ω = (3000 rev/min) * (2π rad/rev) * (1 min/60 s) = 314 rad/s
Now, we can calculate the rotational kinetic energy:
K = (1/2) * 39.19 kg•m² * (314 rad/s)² = 1,936,904 J
Thanks for taking the time to read An airplane propeller is 1 98 m in length from tip to tip with mass 122 kg and is rotating at 3000 rpm rev min. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
