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Answer to Question #24820 in Mechanics | Relativity for phillip

Question #24820
Nerve impulses travel at different speeds. Touch receptors travel at 76.2 m/s, pain receptors travel at 0.610 m/s. I'm 6' 5" tall (1" = 2.540cm) and if I stub my toe. what is the time delay between hittimg my toe and feeling it? What is the time delay between feeling it and feeling the pain?
Expert's answer
6' 5" = 77 inches
77/39.4 = 1.96 metres

the time delay between hittig toe and feeling it:
t_f = h/v_t
h = 1.96 metres
v_t - speed of touch receptors
t = 1.96/76.2 = 0.026 sec

the time delay between feeling it and feeling the pain:
t= t_p - t_f,
t_p = h/v_p
v_p - speed of pain receptors
t = h ( 1/v_p - 1/v_f ) = 1.96 ( 1/0.61 - 1/76.2) = 3.2 sec

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