Show steps on how to choose repeating variables in Buckingham Pi Theorem.
1 answer:
Buckingham π theorem states that an equation involving a certain number 'n' of variables which are expressible in terms of 'k' independent fundamental physical quantities can be expressed in terms of dimensionless parameters.<span>
p = n - k
Keeping the statement of </span><span>Buckingham Pi Theorem,
We can proceed as follows:
Please see the attachments.I hope it helped
</span>
p = n - k
Keeping the statement of </span><span>Buckingham Pi Theorem,
We can proceed as follows:
Please see the attachments.I hope it helped
</span>
You might be interested in
Answer:
Explanation:
The equation for this, since we are talking about weight on an elevator, is Newton's 2nd Law adjusted to fit our needs:
where the Normal Force needed to lift that elevator car is the tension. So the equation then becomes
T = ma + w where T is the tension in the cable to lift the elevator, m is the mass of the elevator (which we have to solve for), a is the acceleration of the elevator (positive since it's going up), and w is the weight of the elevator (which we have as 5500 N). Solving first for mass:
w = mg and
5500 =- m(10) so
m = 550 kg. Now we have what we need to solve for the tension:
T = 550(4.0) + 5500 and
T = 2200 + 5500 so
T = 7700 N