When the support is acted upon by a force of 20N, the pressure on it is 200Pa.
| March 4, 2021 | education
When the support is acted upon by a force of 20N, the pressure on it is 200Pa. How many times will the pressure change if the support is acted upon with a force of 40N?
The bearing pressure can be calculated using the formula:
P = F / S, where P is the value of the pressure on the support (Pa), F is the acting force (N), S is the surface area.
Initial support pressure:
P1 = F1 / S, where P1 = 200 Pa, F1 = 20 N.
S = F1 / P1.
Final bearing pressure:
P2 = F2 / S, where F2 = 40 N.
Let’s calculate the final pressure on the support:
P2 = F2 / S = F2 / (F1 / P1) = F2 * P1 / F1 = 40 * 200/20 = 400 Pa.
Let’s calculate the change in pressure on the support:
P2 / P1 = 400/200 = 2 times.
Answer: The pressure on the support will double.
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