A weight suspended from a spring is seen to bob up and down over a distance of 20 cm triply each second. What is the period? Wha
1 answer:
Answer:
1) Hence, the period is 0.33 s.
2) The amplitude is 10 cm.
Explanation:
1) The period is given by:
Where:
f: is the frequency = 3 bob up and down each second = 3 s⁻¹ = 3 Hz
Hence, the period is 0.33 s.
2) The amplitude is the distance between the equilibrium position and the maximum position traveled by the spring. Since the spring is moving up and down over a distance of 20 cm, then the amplitude is:
Therefore, the amplitude is 10 cm.
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Answer:
a) High and low pressures are 15.999 kilopascals and 10.666 kilopascals, respectively.
b) High and low pressures are 2.320 pounds per square inch and 1.547 pounds persquare inch, respectively.
c) High and low pressures are 1.632 meters water column and 1.088 meters water column, respectively.
Explanation:
a) <em>High and low pressures in kilopascals</em>:
101.325 kPa equals 760 mm Hg, then, we can obtain the values by a single conversion:
High and low pressures are 15.999 kilopascals and 10.666 kilopascals, respectively.
b) <em>High and low pressures in pounds per square inch</em>:
14.696 psi equals 760 mm Hg, then, we can obtain the values by a single conversion:
High and low pressures are 2.320 pounds per square inch and 1.547 pounds persquare inch, respectively.
c) <em>High and low pressures in meter water column in meters water column</em>:
We can calculate the equivalent water column of a mercury column by the following relation:
(Eq. 1)
Where:
,
- Densities of water and mercury, measured in kilograms per cubic meter.
,
- Heights of water and mercury columns, measured in meters.
If we know that ,
,
and
, then we get that:
High and low pressures are 1.632 meters water column and 1.088 meters water column, respectively.