Question
A gear with a mass moment of inertia of 0.45 kg⋅m2 has a kinetic energy of rotation of 21 joules.
A gear with a mass moment of inertia of 0.45 kg⋅m2 has a kinetic energy of rotation of 21 joules. What is its speed of rotation in rpm?
Answers
What are best answers and total votes?
Guide On Rating System
✅
Best Answers -
Rating provided by student who posted the question
Total Votes -
Sum of votes provided by verified experts based on their
assessment of the answer. For example, total votes of 2
means 2 verified experts have approved the answer.
In most cases Best Answers have also the most Total Votes but when
this is not the case, kindly review the feedbacks from verified experts
and decide which answer to take.
✅
Best Answer
No Votes
Vote
SignIn to Vote
Vote
Vote
Loading...
Koala Tutor
Koala Ai Support
Got a question with my answer?
The kinetic energy of rotation is given by the formula:
KE = 0.5 * I * ω^2
where KE is the kinetic energy, I is the mass moment of inertia, and ω is the angular velocity in rad/s.
We can rearrange this formula to solve for ω:
ω = sqrt((2 * KE) / I)
Substituting the given values:
ω = sqrt((2 * 21 J) / 0.45 kg⋅m2) = sqrt(93.33 rad^2/s^2) = 9.66 rad/s
To convert this to rpm (revolutions per minute), we use the conversion factor 60/(2π):
ω = 9.66 rad/s * 60/(2π) = 92.2 rpm
So the speed of rotation is approximately 92.2 rpm.
Got a question with my answer?
Message Me
Cheapmath.com is completely free!
Asking question is free.
Getting answers is free.
+99
Asking question is free.
Getting answers is free.
+99
Related Questions
Physics : vector
A ball is thrown with an initial velocit
Determine the type and magnitude of elec
Briefly explain where a battery gets its
An alternator drives current through the
An alternator drives current through the
What force is slowing the magnet’s fal
If the strength of the electric field is
If the amount of charge on the particle
The atoms move in a circular path becaus