Question 2 (10 points) A dead-weight gauge is used to measure pressures up to 35

Question

Question 2 (10 points) A dead-weight gauge is used to measure pressures up to 3500 atm. The piston diameter is 0.95 cm. What is the mass (in kg) of the weights required? Question 3 (15 points) The reading on a mercury manometer at 20 (open to the atmosphere at one end) is 28.71 inches. The local gravity is 32.186 f/s2. The local atmospheric pressure is 101.29 kPa. The density of mercury at 20 °C is 13.495 g/cm3. What is the absolute pressure being measured, both in kPa and in psia'? Question 4 (10 points) The gravity on Mars can be measured with a spring, which suspends a mass of 0.40 kg. On earth, where the local acceleration of gravity is 9.81 m/s?, the spring extends 1.55 cm. When the instrument package is landed on Mars, the spring is extended only 0.59 cm. What is the acceleration of gravity on Mars?

Explanation / Answer

Q2.

P = 3500 atm

D = 0.95 cm

mass = ? in kg

The free body diagram should go as follows

Pressure exerted = Weight of object / Area

Area = circle = PI*(R^2) = PI/4 * (D^2)

Weight = mass*gravity

Substitute all

P = m*g/(PI/4 * (D^2))

Solve for mass "m"

m = P/g * (PI/4 *D^2)

P exerted = 3500 atm

change all to SI units

P = 3500 atm * (101325 Pa / 1 atm) = 354637500 Pa

g = 9.8 m/s2

D = 0.95 cm = 0.95*10^-2 m = 0.0095 m

m = P/g * (PI/4 *D^2)

m = 354637500 /9.8 * (3.141592/4 *(0.0095 ^2))

m = 2565.04850 kg

For further questions, pleas consider posting multiple questions in multiple set of Q&A.

Related Questions

Navigate

• Browse (All)
• Browse Q
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.