a construction worker's helmet slips and falls when he is 78.4m above the ground he hears the sound of a helmet hitting the ground 4.23 seconds after it slipped find the speed of sound in air
Asked by Shagun Rastogi | 1st Jan, 2014, 11:53: AM
Given,
h = 78.4 m
g = 9.8 m/s2
u = 0
Time taken to hear the sound, T = 4.23 sec
v 2 = u 2 + 2 gh
= 0 + 2 gh
v2 =√2gh
v= √2 x 9.8 x 78.4
v= 39.2
This is the speed of the helmet.
Now using,
v = u + gt
39.2 = 0 + 9.8 x t
39.2/9.8 = t
t= 4 sec
Therefore time taken by helmet to reach the ground is 4 sec.
T – t = 4.23 – 4 =0.23 s
In this time sound travels the height 78.4 m (distance)
So, speed of sound in air = distance/time
=78.4/0.23
=340.86m/s
Given,
h = 78.4 m
g = 9.8 m/s2
u = 0
Time taken to hear the sound, T = 4.23 sec
v 2 = u 2 + 2 gh
= 0 + 2 gh
v2 =√2gh
v= √2 x 9.8 x 78.4
v= 39.2
This is the speed of the helmet.
Now using,
v = u + gt
39.2 = 0 + 9.8 x t
39.2/9.8 = t
t= 4 sec
Therefore time taken by helmet to reach the ground is 4 sec.
T – t = 4.23 – 4 =0.23 s
In this time sound travels the height 78.4 m (distance)
So, speed of sound in air = distance/time
=78.4/0.23
=340.86m/s
Answered by Faiza Lambe | 1st Jan, 2014, 07:07: PM
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