Answer:
Consider the diagram. We are effectively being asked to prove that $\alpha=i_1$, for any value of $i_1$. Now, from trigonometry,
Explanation:
Answer:
Temperature at the exit = 
Explanation:
For the steady energy flow through a control volume, the power output is given as

Inlet area of the turbine = 
To find the mass flow rate, we can apply the ideal gas laws to estimate the specific volume, from there we can get the mass flow rate.
Assuming Argon behaves as an Ideal gas, we have the specific volume 
as


for Ideal gasses, the enthalpy change can be calculated using the formula

hence we have


<em>Note: to convert the Kinetic energy term to kilojoules, it was multiplied by 1000</em>
evaluating the above equation, we have 
Hence, the temperature at the exit = 
Answer:
c. 981 watts

Explanation:
Given:
- horizontal speed of treadmill,

- weight carried,

- grade of the treadmill,

<u>Now the power can be given by:</u>

(where grade is the rise of the front edge per 100 m of the horizontal length)

<span>A.) If a sideways force of 300 N is applied to the motor, how far will it move sideways?</span>
Answer:
The jumper is in freefall for 12.447 seconds.
Explanation:
Let's start by calculating how far the jumper falls.
Initial height (on cliff) = 910 m
Final height after freefall = 150 m
Distance the jumper falls in freefall = 910 - 150 = 760 m
We can now use the equation of motion below to solve for the time:

here. acceleration = 9.81 m/s (due to gravity)
initial speed (u) = 0 m/s (because vertical speed is 0 at the start)
and distance (s) = 760 meters (as calculated above)
So for speed we get:


t = 12.447 seconds