Error propagation

  • #1
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0

Homework Statement


suppose i measure the time t for 20 oscillations fro a pendulum. the period is T.

Homework Equations


Since T = t / 20
delta T = delta t right?

The Attempt at a Solution


since the 20 is a numerical value, it does not come in the error propagation, does not? when i used the above equation, i can't get the required answer but when i divide by 20, the answer is obtained.

can someone explain why?
 

Answers and Replies

  • #2
Nathanael
Homework Helper
1,650
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T is what you measure the period to be, right? (T = t / 20) So the true period will be T+ΔT where ΔT is some error.

The true time it takes for 20 oscillations is 20(T+ΔT), which equals the time you measured plus some error Δt

[itex]20(T+ΔT)=t+Δt[/itex]

So if [itex]20T=t[/itex] then:

[itex]20ΔT=Δt[/itex] ... or ... [itex]ΔT=\frac{Δt}{20}[/itex]
 

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