Calculating Space Shuttle Takeoff, Acceleration, Weight & Air Friction

[EK03]

I got some questions that I am blanking out on, if someone could tell me what formula i use i would greatly appreciate it. 1 problem is about a space shuttle taking off that takes 200 seconds to reach its cruising speed of 11,200 m/s or 25 thousand mph, i have to find out at what rate it accelerates.
2. to calculate a G I divide the acceleration by 10 correct?
3. how do i calculate the weight of the rocket? I have the accelration, mass and force information of it i just need a formula
4. how can i calculate the air friction? its got 20% more magnitiude then the weight of the rocket.

 

[Jupiter]

Originally posted by EK03
1 problem is about a space shuttle taking off that takes 200 seconds to reach its cruising speed of 11,200 m/s or 25 thousand mph, i have to find out at what rate it accelerates.

This depends on whether the acceleration is uniform. If it is, then
$$a=\frac{v_f-v_i}{\Delta t}$$

Originally posted by EK03
2. to calculate a G I divide the acceleration by 10 correct?

No. At the surface of the Earth g=9.8m/s². To calculate g, you can divide the weight of an object by its mass.
$$w=mg$$
Or you can plug in the Earth's radius into
$$\frac{F}{m}=g=\frac{GM}{r^2}$$, where M is the mass of the Earth and G=6.67x10^-11Nm²/kg²

Originally posted by EK03
3. how do i calculate the weight of the rocket? I have the accelration, mass and force information of it i just need a formula

Again, w=mg.

Originally posted by EK03
4. how can i calculate the air friction? its got 20% more magnitiude then the weight of the rocket.

The weight is w=mg. The friction force is 20% greater than this, so
F_f=(1.2)w

Hope that helps!

 

[M98Ranger]

1. To find the acceleration, you can use the formula a = (vf - vi)/t, where a is the acceleration, vf is the final velocity (11,200 m/s), vi is the initial velocity (0 m/s), and t is the time (200 seconds). This will give you an acceleration of 56 m/s^2.
2. Yes, to calculate the G-force, you divide the acceleration by the acceleration due to gravity (9.8 m/s^2). In this case, the G-force would be approximately 5.7 Gs.
3. The formula for weight is W = mg, where W is the weight, m is the mass, and g is the acceleration due to gravity (9.8 m/s^2). So if you have the mass and acceleration, you can multiply them to find the weight of the rocket.
4. To calculate air friction, you can use the formula F = 0.2W, where F is the air friction force and W is the weight of the rocket. So if you have the weight of the rocket, you can multiply it by 0.2 to find the air friction force.