Answer:
a. 86.80 m
b. i. The mass of the bob
ii. The length of the pendulum
Explanation:
a. Determine the height of the smokestack.
Using T = 2π√(L/g) where T = period of pendulum = 18.7 s, L = length of pendulum = height of smokestack and g = acceleration due to gravity = 9.8 m/s².
So, making L subject of the formula, we have
T = 2π√(L/g)
T/2π = √(L/g)
squaring both sides, we have
(T/2π)² = L/g
L = (T/2π)²g
Substituting the values of the variables into the equation, we have
L = (T/2π)²g
L = (18.7 s/2π)²(9.8 m/s²)
L = (2.976 s)²(9.8 m/s²)
L = 8.857 s² × 9.8 m/s²
L = 86.796 m
L ≅ 86.80 m
b. What factors influence the period of a simple pendulum
The factors that influence the period of a simple pendulum are
i. The mass of the bob
ii. The length of the pendulum
Answer:
Kinetic energy is 242.7 Joule
Explanation:
m = 47.4 kg
v = 3.2m/s²
Now,
K.E. = 1/2 × m × v²
or, K.E. = 1/2 × 47.4 × 3.2²
or, K.E. = 242.7 Joule
Answer: 313.24K
Explanation:
Given that:
Initial air pressure P1 = 210kPa
Initial Temperature T1 = 26°C
(Since, the SI unit of temperature is Kelvin, convert temperature in celsius to kelvin
26°C + 273 = 299K)
Final temperature T2 = ?
Final pressure P2 = 220kPa
Since, pressure and temperature are involved while volume is constant, apply the formula for pressure law
P1/T1 = P2/T2
210kPa/299K = 220kPa/T2
Cross multiply
210kPa x T2 = 220kPa x 299K
210 x T2 = 65780
T2 = (65780/210)
T2 = 313.24K
Thus, the temperature of the air in the tyre is 313.24K
Air pressure decreases with altitude
hope that helps you!
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<h3>What is objectivity in writing?</h3>
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Therefore, objectivity means being truthful and impartial.
Learn more about objectivity at: brainly.com/question/25529708