Answer:
Explanation:
Given
Temperature of gas 
Volume of gas 
no of moles of gas 
Using Ideal gas Equation to find the Pressure of gas

where P=Absolute Pressure
V=Volume
R=Universal gas constant
T=Temperature



And we know Atmospheric Pressure is 
Therefore Gauge pressure is given by



Answer:

Explanation:
We are asked to find the cyclist's initial velocity. We are given the acceleration, final velocity, and time, so we will use the following kinematic equation.

The cyclist is acceleration at 1.2 meters per second squared. After 10 seconds, the velocity is 16 meters per second.
= 16 m/s - a= 1.2 m/s²
- t= 10 s
Substitute the values into the formula.

Multiply.


We are solving for the initial velocity, so we must isolate the variable
. Subtract 12 meters per second from both sides of the equation.


The cyclist's initial velocity is <u>4 meters per second.</u>
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Is there a question in here somewhere?
Answer:
This value is less than the maximum tension of 500 lbs, making it safe for man to go to the tip flap
Explanation:
We must work on this problem using the rotational equilibrium equations and then they compared the tension values that the cable supports.
Let's start with fixing a reference system on the hinge of the flag, we take as positive the anti-clockwise turn
They indicate the weight of the pole W₁ = 120 lb and a length of L = 9 ft, the weight of the man W₂ = 150, we assume that the cable is at the tip of the pole
-
L + W₂ L + W₁ L / 2 = 0
T_{y} = W₂ + W₁ / 2
T_{y} = 120 + 150/2
T_{y} = 195 lb
we use trigonometry to find the cable tension
sin 30 = T_{y} / T
T = T_{y} / sin 30
T = 195 / sin 30
T = 390 lb
This value is less than the maximum tension of 500 lbs, making it safe for man to go to the tip flap
T < 500 lb