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if y denotes the displacement and t denote the time and the displacement is given by y=asinwt, the velocity of the particle is?
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?if y denotes the displacement and t denote the time and the displacem...
Introduction:
In this problem, we are given the displacement of a particle as a function of time. We need to find the velocity of the particle at any given time.
Displacement and Time:
The displacement of the particle is given by:
y = Asin(wt)
where A is the amplitude of the displacement, w is the angular frequency, and t is the time.
Velocity:
The velocity of the particle is the rate of change of displacement with respect to time. It is given by:
v = dy/dt
where v is the velocity, y is the displacement, and t is the time.
Deriving Velocity:
To derive the velocity, we need to take the derivative of the displacement function with respect to time.
dy/dt = A(w)cos(wt)
Substituting this into the equation for velocity, we get:
v = A(w)cos(wt)
Conclusion:
Therefore, the velocity of the particle is given by:
v = A(w)cos(wt)
This equation tells us that the velocity of the particle is proportional to the angular frequency and the amplitude of the displacement, and it is a function of time.
In this problem, we are given the displacement of a particle as a function of time. We need to find the velocity of the particle at any given time.
Displacement and Time:
The displacement of the particle is given by:
y = Asin(wt)
where A is the amplitude of the displacement, w is the angular frequency, and t is the time.
Velocity:
The velocity of the particle is the rate of change of displacement with respect to time. It is given by:
v = dy/dt
where v is the velocity, y is the displacement, and t is the time.
Deriving Velocity:
To derive the velocity, we need to take the derivative of the displacement function with respect to time.
dy/dt = A(w)cos(wt)
Substituting this into the equation for velocity, we get:
v = A(w)cos(wt)
Conclusion:
Therefore, the velocity of the particle is given by:
v = A(w)cos(wt)
This equation tells us that the velocity of the particle is proportional to the angular frequency and the amplitude of the displacement, and it is a function of time.
Community Answer
?if y denotes the displacement and t denote the time and the displacem...
Y = asinwt
v = dy/dt
v = awcoswt
v = dy/dt
v = awcoswt
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?if y denotes the displacement and t denote the time and the displacement is given by y=asinwt, the velocity of the particle is?
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?if y denotes the displacement and t denote the time and the displacement is given by y=asinwt, the velocity of the particle is? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about ?if y denotes the displacement and t denote the time and the displacement is given by y=asinwt, the velocity of the particle is? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ?if y denotes the displacement and t denote the time and the displacement is given by y=asinwt, the velocity of the particle is?.
?if y denotes the displacement and t denote the time and the displacement is given by y=asinwt, the velocity of the particle is? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about ?if y denotes the displacement and t denote the time and the displacement is given by y=asinwt, the velocity of the particle is? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ?if y denotes the displacement and t denote the time and the displacement is given by y=asinwt, the velocity of the particle is?.
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