Question in momentum of inertia

In summary, the conversation discusses finding N1 and N2, as well as understanding the meaning of "speed varies from above and below." The summary also includes a calculation for N1 and N2 using a 2% increase and decrease from the average speed of 430 RPM. The conversation ends with a clarification on calculating percentages.
  • #1
manal950
177
0
http://store2.up-00.com/June12/ScF29742.jpg


can please help me how I can find N1 and N2

and I don't understand what mean by Speeeeed varies from above and below ? b]
 
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  • #2
where are you ?
 
  • #3
manal950 said:
and I don't understand what mean by Speeeeed varies from above and below ?
I believe it means that the flywheel smoothing is not perfect, it does not iron the speed out to be a perfectly constant 430 RPM. Rather, it smooths it out so that as the flywheel rotates, its instantaneous angular velocity during every revolution varies from a few % less than [what equates to] 430 RPM to the same few % faster than [what would equate to] 430 RPM.

430 RPM is the average (or mean) rotational speed.
 
  • #4
see the teacher said

N1 = 430 + ( 0.02 X 430 ) = 438.6 rpm
N2 = 430 - (0.02 X 430 ) = 421.4 rpmHow is that please tell me
 
  • #5
manal950 said:
see the teacher said

N1 = 430 + ( 0.02 X 430 ) = 438.6 rpm
N2 = 430 - (0.02 X 430 ) = 421.4 rpm


How is that please tell me
0.02 is 2% and I think I explained the rest in post #2
 
  • #6
I know this 430 + ( 0.02)

but why then multiply in 430 ??
 
  • #7
manal950 said:
I know this 430 + ( 0.02)

but why then multiply in 430 ??

That is how you calculate percent.

1% of 100 kilograms is 0.01 * 100kg = 1kg.

Does that make sense now?
 
  • #8
And more like your problem,

Adding 1% to the mass of 100kg:

1.01 * 100kg = 100kg + 0.01 * 100kg = 101kg
 
  • #9
thaaaaaaaaaaaaaaaaaaaaank so so so so so much
 

FAQ: Question in momentum of inertia

What is momentum of inertia?

Momentum of inertia, also known as rotational inertia, is a measurement of an object's resistance to changes in its rotational motion. It is dependent on the mass and distribution of the object's mass around its axis of rotation.

How is momentum of inertia different from linear momentum?

Linear momentum is a measurement of an object's motion in a straight line, while momentum of inertia is a measurement of an object's rotational motion. They are related by the equation L = Iω, where L is linear momentum, I is momentum of inertia, and ω is angular velocity.

How do I calculate momentum of inertia?

The formula for calculating momentum of inertia depends on the shape of the object. For a point mass, I = mr^2, where m is the mass and r is the distance from the axis of rotation. For a rigid body, the formula is more complex and involves integrals and the object's density distribution.

What is the significance of momentum of inertia?

Momentum of inertia is an important concept in understanding rotational motion and is used in many practical applications, such as designing machines and predicting the behavior of rotating objects. It also helps us understand the conservation of angular momentum, which states that the total angular momentum of a system remains constant in the absence of external torques.

Can momentum of inertia be negative?

No, momentum of inertia cannot be negative. It is a physical property of an object and must have a positive value. It can, however, be zero for objects with all of their mass concentrated at the axis of rotation.

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