Converting MPa·mm1/2 to MPa.m1/2: A Scientific Approach

[Dave_]

I need to convert 12.5 MPa·mm^1/2 into MPa.m^1/2.

I am unsure on how to do this, my two guesses are as follows:

1. (12.5) / ( 1 / 1000^1/2) = 395.28 MPa.m^1/2

2. (12.5) / (12.5 / 1000^1/2) = 31.62 MPa.m^1/2


Is either of those correct? Thanks!

 

[Segala]

Dear Dave,
is the 1/2 exponent correct? Isn't it -2?
Best regards!

 

[Dave_]

Dear Dave,
is the 1/2 exponent correct? Isn't it -2?
Best regards!

I've just doubled checked and the 1/2 exponent is correct, the value is a material constant. Is it possible to convert it into MPa.m^1/2? Thanks.

 

[Nathanael]

I've just doubled checked and the 1/2 exponent is correct, the value is a material constant. Is it possible to convert it into MPa.m^1/2? Thanks.

It should be possible.

(MPa = "MegaPascal"?)
(mm = "millimeter"?)

(If those \uparrow are the units then) Your original two answers shouldn't be right, because you would expect the answer to be significantly smaller, right?


(Converting mm to m would decrease the numerical value)

 

[Dave_]

It should be possible.

(MPa = "MegaPascal"?)
(mm = "millimeter"?)

(If those \uparrow are the units then) Your original two answers shouldn't be right, because you would expect the answer to be significantly smaller, right?


(Converting mm to m would decrease the numerical value)

Ahh I see, so should I be calculating (12.5 / 1000^1/2) = 0.395 MPa.m^1/2?

Thanks!

 

[Nathanael]

Ahh I see, so should I be calculating (12.5 / 1000^1/2) = 0.395 MPa.m^1/2?

Thanks!

Yeah

The meticulous method of figuring it out would be:
12.5 MPa(mm)^{1/2}=12.5MPa(\frac{m}{1000})^{1/2}=\frac{12.5MPa\cdot m^{1/2}}{1000^{1/2}}=0.395MPa\cdot m^{1/2}

 

[Segala]

I've just doubled checked and the 1/2 exponent is correct, the value is a material constant. Is it possible to convert it into MPa.m^1/2? Thanks.

Dear Dave,
this is new to me! What is this unit used for?

Best regards!