Calculate Linear Acceleration of 0.5kg Mass Suspended from Flywheel

In summary, a mass is released from rest and falls a distance of 0.5m in 1.5s. The linear acceleration of the mass is a*1.5^2=1.
  • #1
kelvin scott
9
1
Moved from a technical forum, no template.
A mass of 0.5kg is suspended from a flywheel is released from rest and falls a distance of 0.5m in 1.5s ,calculate the
linear acceleration of the mass

Σ Torque = I x a
Σ F = m* a

Im I right with the formulas?
 
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  • #2
[Moderator note: comments about moving this to homework removed.]

But, in any case, if you know the distance covered in a given time under constant acceleration, surely you should be looking at (i.e. selecting) one of those pesky SUVAT equations to give you a.
Also, no one mentioned the value of I so that is not going to turn up in any formula that's useful.
 
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  • #3
so it means ; d= VoT + 0.5 at (2) ?
 

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  • #4
kelvin scott said:
so it means ; d= VoT + 0.5 at (2) ?
That formula should do it (when you actually copy it correctly). Note: it's a lower case "t" both times., initial velocity is zero and it's t2 in the right hand side. You have values for all but one variable so you can solve it.
 
  • #5
yea thanks but can't locate the keys to achieve this t2

0.5 = 0*1.5+0.5*a*1.5 ^2
0.5 =0.5*a*1.5^2
=a*1.5^2/ 0.5
=a*1.5^2=1
a =1/ 1.5^2
a =1/2.25
a =0.44m/s^2
hoping I am on the right track
 
  • #6
Looks ok to me. The flywheel is effective at slowing the rate of fall!
If you look at the bar at the top of the compose window, you will see various buttons, including x2 and x2. s^2 is harder read
 
  • #7
kelvin scott said:
A mass of 0.5kg is suspended from a flywheel is released from rest and falls a distance of 0.5m in 1.5s ,calculate the
linear acceleration of the mass

Σ Torque = I x a
Σ F = m* a

Im I right with the formulas?
Not quite. You put "a" in both, but in the first equation it should be an angular acceleration, usually denoted α (alpha).
Anyway, as @sophiecentaur mentions, neither is what you need for this question.
 
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  • #8
ok thanks to all who contributed
 

Related to Calculate Linear Acceleration of 0.5kg Mass Suspended from Flywheel

1. What is linear acceleration?

Linear acceleration is the rate of change of an object's velocity in a straight line. It is typically measured in meters per second squared (m/s²).

2. How do you calculate linear acceleration?

To calculate linear acceleration, you would need to know the initial and final velocities of the object, as well as the time it took to change velocity. The formula for linear acceleration is a = (vf - vi) / t, where a is the acceleration, vf is the final velocity, vi is the initial velocity, and t is the time.

3. What is the mass of the object in this scenario?

The mass of the object is given as 0.5kg in the question.

4. What is a flywheel and how does it affect the calculation?

A flywheel is a mechanical device that stores rotational energy. In this scenario, the flywheel is suspending the object and providing the force for the linear acceleration. The flywheel's mass and rotational speed would need to be taken into account in the calculation.

5. Why is calculating linear acceleration important?

Calculating linear acceleration is important because it helps us understand the motion of objects and how forces affect their movement. It is also a crucial concept in physics and engineering, as it is used in various applications such as designing machines and vehicles.

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