Answer:
M/A = 0.425 g/cm²
Explanation:
<u>Given the following data;</u>
Mass = 192 grams
Dimensions = 7 * 10 inches.
To find the mass per unit area;
First of all, we would determine the area of the lead sheet;
Area = 7 * 10
Area = 70 in²
<u><em>Conversion:</em></u>
1 square inch = 6.452 square centimeters
70 inches = 70 * 6.452 = 451.64 square centimeters
Next, we find the mass per unit area;
M/A = 192/451.64
<em>M/A = 0.425 g/cm²</em>
Answer:
Explanation:
From the question we are told that:
Diameter 1
Diameter 2
Generally the equation for Radius is mathematically given by
At Diameter 1
At Diameter 2
Generally the equation for continuity is mathematically given by
Therefore
Answer: 5.36×10-3kg/h
Where 10-3 is 10 exponential 3 or 10 raised to the power of -3.
Explanation:using the formula
M =JAt = -DAt×Dc/Dx
Where D is change in the respective variables. Insulting the values we get,
=5.1 × 10-8 × 0.13 × 3600 × 2.9 × 0.31 / 4×10-3.
=5.36×10-3kg/h
Answer:
The space station must turn at 0.24 rad/s to give the astronauts inside it apparent weights equal to their real weights at the earth’s surface.
Explanation:
In circular motion there’s always a radial acceleration that points toward the center of the circumference, so because the space station is spinning like a centrifuge it has a radial acceleration towards the center of the trajectory. To imitate the weight of the passengers on earth, they should turn the station in a way that the radial acceleration equals earth gravitational acceleration; this is:
And radial acceleration is also defined as:
with v the tangential velocity of the station and R the radius of the ring, solving for v:
We can find the angular velocity using the following equation:
That is the angular velocity the space station must turn.