Question

Nerve impulses travel at different speeds, depending on the type of fiber through which they move. The impulses for touch travel at 76.2 {\rm m/s}, while those registering pain move at 0.610 {\rm m/s}. Assume that person's brain is 1.81 m from his toe and that the impulses travel directly from toe to brain.1. If a person stubs his toe, find the time for the impulse for touch to reach his brain.t=___s2. If a person stubs his toe, find the time for the impulse for pain to reach his brain.t=___s3. Find the time delay between the pain and touch impulses.{\Delta t} =____s

Answer 1

Answer:

a

    $t_t = 0.024 \ sec$

b

  $t_p = 2.93 \ sec$

c

  $\Delta t = 2.91 \ sec$

Explanation:

From the question we are told that

   The speed of touch impulse is $v_t = 76.2 m/s$

    The speed of registering pain is  $v_p = 0.610 \ m/s$

      The distance of brain from toe is  $d = 1.81 \ m$

The time for the touch to reach the brain is  

    $t_t = \frac{d }{v_t}$

substituting values

    $t_t = \frac{1.81 }{76.2}$

   $t_t = 0.024 \ sec$

The time for the pain to reach the brain is  

    $t_p = \frac{d }{v_p}$

substituting values

    $t_p = \frac{1.81 }{0.610}$

   $t_p = 2.93 \ sec$

The time delay between touch and pain is mathematically evaluated as

    $\Delta t = t_p - t_t$

substituting values      

  $\Delta t = 2.93 - 0.024$

  $\Delta t = 2.91 \ sec$