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3 years ago

Dimensional formula of Amplitude ?

Physics

1 answer:

jeka57 [31]3 years ago

5 0

Answer:

The dimensional formula of the amplitude of a wave is given by,

[ M⁰L¹T⁰ ]

Where,

M = Mass

L = Length

T = Time

Derivation

The amplitude of wave = Maximum displacement

Since, the dimensional formula of displacement = [ M⁰L¹T⁰ ]

Therefore, the amplitude of a wave is dimensionally represented as [ M⁰L¹T⁰ ]

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Answer:

See the answers below

Explanation:

To solve this problem we must use the following equation of kinematics.

$v_{f}=v_{o}+a*t$

where:

Vf = final velocity [m/s]

Vo = initial velocity [m/s]

a = acceleration [m/s²]

t = time [s]

First case

Vf = 6 [m/s]

Vo = 2 [m/s]

t = 2 [s]

$6=2+a*2\\4=2*a\\a=2[m/s^{2} ]$

Second case

Vf = 25 [m/s]

Vo = 5 [m/s]

a = 2 [m/s²]

$25=5+2*t\\t = 10 [s]$

Third case

Vo =4 [m/s]

a = 10 [m/s²]

t = 2 [s]

$v_{f}=4+10*2\\v_{f}=24 [m/s]$

Fourth Case

Vf = final velocity [m/s]

Vo = initial velocity [m/s]

a = acceleration [m/s²]

t = time [s]

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Fifth case

Vf = final velocity [m/s]

Vo = initial velocity [m/s]

a = acceleration [m/s²]

t = time [s]

$8=v_{o}+4*2\\v_{0}=8-8\\v_{o}=0$

8 0

3 years ago

Dimensional formula of Amplitude ?​

Dimensional formula of Amplitude ?