Thread: Matching tolerance interval

hey there, i've a question -

A diagram of a metal plate specifies the length of the plate to be (5.03+-0.005) inches. Which of the following mesaurements are within the tolerance interval? Explain why.

a. 5.0361 inches
b. 5.0285 inches
c. 5.0249 inches
d. 5.0355 inches

So, I'm guessing it should be B because you have to round 1 more decimal than given measurement, right? (5.0285 = 5.03?)

Thanks!

Well, what is a tolerance interval? Or rather, what does 5.03±0.005 mean?

Tolerance interval is a measurement with its uncertaintly....(meas +- uncert)

That's the right answer but the reason I would have given is that 5.03+.005 = 5.035 and 5.03-.005 = 5.025 so the length has to be between 5.025 and 5.035.

Yes, yes I thought of that reason too, I guess I just added another reason.

Thanks, harold!

It's important to note that 5.03±0.005 literally means the interval [5.025,5035]. The measurement is some specific point, the uncertainty is the maximum distance between the measurement and the actual value.

1 more question -

Make an accurate scale drawing of the following shape, using a scale of 3:1. Show all original measurements and scale drawing measurements.

[ the printed shape is shown ]

So, I outlined the cm's with the real ruler on the printed shape above, and to make an accurate scale drawing of the shape, I have to multiply the actual cm's of the printed shape by 3 then it makes a real drawing of 3:1, right?

I know I'm probably right but just to make sure....

Yes.

Where are these questions coming from? If this is for school, I'm confused--you should have learned definitions for tolerance interval and scale, and your questions can be immediately answered just by checking the definitions.