Please help me solve equation N= 1/2 ? ?a/r

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Panama

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The equation
N= 1/2 ? ?a/r

Is used to find the rational rate “N” of a space station, where “a” is the acceleration and represents the radius of the space station in meters.

Solve the equation for “r”. Assume all variables represent positive real numbers.

A) r= a/2?²N²
B)r= a/2?N
C) r= aN/4?²
D) r= a/4?²N²

Find the value of “r” that makes N = 0.038 rotations per second, if a = 9.8 meters per second squared.


R= __ meters
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Re: Please help me solve.

N= 1/2 ? ?a/r means \(\displaystyle N=\frac{1}{2}\pi \sqrt{a}\cdot r\)

Or did you mean N=1/2 ? ?(a/r) ?
 
You need to learn to use parenthesis to clarify what you mean. I still don't know whether the r is within the radical sign or not.

?a/r means \(\displaystyle \frac{\sqrt{a}}{r}\)

?(a/r) means \(\displaystyle \sqrt{\frac{a}{r}}\)

There is a difference.
 


On the right-hand side of the equation, isolate the radical factor sqrt(a/r), by getting everything else on the other side of the equal sign.

Then, square both sides of the equation, to get rid of the radical sign.

Solve for r.

 
Is r= a/4?²N² the correect answer for N=1(2pi)sqrt(a/r)

The equation N= 1/(2 ?) ?(a/r) Is used to find the rational rate “N” of a space station, where “a” is the acceleration and represents the radius of the space station in meters. Solve the equation for “r”. Assume all variables represent positive real numbers.

A) r= a/2?²N²
B)r= a/2?N
C) r= aN/4?²
D) r= a/4?²N²

Find the value of “r” that makes N = 0.038 rotations per second, if a = 9.8 meters per second squared.

R= __ meters

N= 1/(2 ?) ?(a/r)

multiply both sides by (2?/1)

[N= 1/(2 ?) ?(a/r)] * (2?/1)

distribute to both sides

N* (2?/1)= ?(a/r)

square both sides

( N* (2?/1) )^(2) = (?(a/r) )^2

( N* (2?/1) )^(2) = a/r

simplify the left side

N^2* 4?^2 = a/r

4?^2N^2 = a/r

N = 0.038 rotations per second, if a = 9.8 meters per second squared.

r = 9.8/4?^2(0.038)^2 = 171.91 __ meters
 
Panama said:
4 ?^2 N^2 = a/r

r = 9.8/[4?^2(0.038)^2] = 171.9 m
Click to expand...


Please use grouping symbols around denominators that are factored or more than one term.

Did you answer the multiple-choice question?

 
Re: Is r= a/4?²N² the correect answer for N=1(2pi)sqrt(a/r)

Panama said:
The equation N= 1/(2 ?) ?(a/r) Is used to find the rational rate “N” of a space station, where “a” is the acceleration and represents the radius of the space station in meters. Solve the equation for “r”. Assume all variables represent positive real numbers.

A) r= a/2?²N²
B)r= a/2?N
C) r= aN/4?²
D) r= a/4?²N²

Find the value of “r” that makes N = 0.038 rotations per second, if a = 9.8 meters per second squared.

R= __ meters

N= 1/(2 ?) ?(a/r)

multiply both sides by (2?/1)

[N= 1/(2 ?) ?(a/r)] * (2?/1)

distribute to both sides

N* (2?/1)= ?(a/r)

square both sides

( N* (2?/1) )^(2) = (?(a/r) )^2

( N* (2?/1) )^(2) = a/r

simplify the left side

N^2* 4?^2 = a/r

4?^2N^2 = a/r

N = 0.038 rotations per second, if a = 9.8 meters per second squared.

r = 9.8/4?^2(0.038)^2 = 171.91 __ meters
Click to expand...
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http://answers.yahoo.com/question/index ... 021AACuXzv
 
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