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A metal rod of initial length L0 is subjected to a drawing process. The length of the rod at any instant is given by the expression, L(t) = L0 (1 + t²), where t is the time in minutes. The true strain rate (in min–1) at the end of one minute is _______.
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- 1 min–1
- 2 min–1
- 3 min–1
- 4 min–1
Correct Option: A
L(t) = L0 (1 + t²)
⇒ dL = L0 × 2t dt
| As d ∈T = | L |
| d ∈T = | L0 (1 + t²) |
| = | dt | 1 + t² |
at t = 1 min
| = | = 1 min- 1 | T | 1 + 1² |
