How Can I Calculate Maximum Velocity In Simple Harmonic Motion?

CoursesCourses for KidsFree study materialOffline CentresMoreStore

Talk to our experts

1800-120-456-456

Sign In

• Question Answer

• Class 11

• Physics

• How can I calculate maximum ve...

AnswerQuestion Answers for Class 12Class 12 BiologyClass 12 ChemistryClass 12 EnglishClass 12 MathsClass 12 PhysicsClass 12 Social ScienceClass 12 Business StudiesClass 12 EconomicsQuestion Answers for Class 11Class 11 EconomicsClass 11 Computer ScienceClass 11 BiologyClass 11 ChemistryClass 11 EnglishClass 11 MathsClass 11 PhysicsClass 11 Social ScienceClass 11 AccountancyClass 11 Business StudiesQuestion Answers for Class 10Class 10 ScienceClass 10 EnglishClass 10 MathsClass 10 Social ScienceClass 10 General KnowledgeQuestion Answers for Class 9Class 9 General KnowledgeClass 9 ScienceClass 9 EnglishClass 9 MathsClass 9 Social ScienceQuestion Answers for Class 8Class 8 ScienceClass 8 EnglishClass 8 MathsClass 8 Social ScienceQuestion Answers for Class 7Class 7 ScienceClass 7 EnglishClass 7 MathsClass 7 Social ScienceQuestion Answers for Class 6Class 6 ScienceClass 6 EnglishClass 6 MathsClass 6 Social ScienceQuestion Answers for Class 5Class 5 ScienceClass 5 EnglishClass 5 MathsClass 5 Social ScienceQuestion Answers for Class 4Class 4 ScienceClass 4 EnglishClass 4 MathsHow can I calculate maximum velocity in simple harmonic motion?AnswerVerified560.7k+ viewsHint: In this type of questions, to get the formula for calculating maximum velocity, first the formula for velocity should be known and then since simple harmonic motion is related to waves, which has amplitude, wavelength, etc. so from the wave we can know the point where velocity will be maximum and the corresponding value of other variable at that point, which when substituted in the formula for velocity will give the formula for maximum velocity.Formula used:$v=\omega \sqrt{{{A}^{2}}-{{y}^{2}}}$Complete answer: In Simple Harmonic Motion, we know that velocity can be found using the formula,$v=\omega \sqrt{{{A}^{2}}-{{y}^{2}}}$where,$\begin{align} & \omega =\text{Angular Frequency} \\ & A=\text{Amplitude} \\ & y=\text{Displacement} \\ \end{align}$Now, we know that velocity is maximum when $y=0$, i.e., displacement is zero and acceleration is zero, which means the system is in equilibrium.So, substituting the value of y in equation, we get:$\begin{align} & v=\omega \sqrt{{{A}^{2}}-{{0}^{2}}} \\ & \Rightarrow v=\omega \sqrt{{{A}^{2}}} \\ & \therefore v=A\omega \\ \end{align}$Therefore, at a point in simple harmonic motion, the maximum velocity can be calculated using the formula $v=A\omega $.Additional Information:In mechanics and physics, simple harmonic motion is a special type of periodic motion where the restoring force on the moving object is directly proportional to the object's displacement magnitude and acts towards the object's equilibrium position. It results in an oscillation which, if uninhibited by friction or any other dissipation of energy, continues indefinitely.Note: Simple Harmonic Motion is an important topic in physics and the questions on it are also easy to solve. The main information that is needed to solve this kind of problem can be obtained from the wave that is created by this motion. In SHM, the formula for getting the equation of wave is mainly dependent on amplitude, wavelength, angular frequency, and angle of the wave. Recently Updated PagesMaster Class 11 Computer Science: Engaging Questions & Answers for SuccessMaster Class 11 Business Studies: Engaging Questions & Answers for SuccessMaster Class 11 Economics: Engaging Questions & Answers for SuccessMaster Class 11 English: Engaging Questions & Answers for SuccessMaster Class 11 Maths: Engaging Questions & Answers for SuccessMaster Class 11 Biology: Engaging Questions & Answers for SuccessMaster Class 11 Computer Science: Engaging Questions & Answers for SuccessMaster Class 11 Business Studies: Engaging Questions & Answers for SuccessMaster Class 11 Economics: Engaging Questions & Answers for SuccessMaster Class 11 English: Engaging Questions & Answers for SuccessMaster Class 11 Maths: Engaging Questions & Answers for SuccessMaster Class 11 Biology: Engaging Questions & Answers for Success

• 1
• 2

Trending doubtsOne Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSEThere are 720 permutations of the digits 1 2 3 4 5 class 11 maths CBSEDiscuss the various forms of bacteria class 11 biology CBSEDraw a diagram of a plant cell and label at least eight class 11 biology CBSEState the laws of reflection of lightExplain zero factorial class 11 maths CBSEOne Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSEThere are 720 permutations of the digits 1 2 3 4 5 class 11 maths CBSEDiscuss the various forms of bacteria class 11 biology CBSEDraw a diagram of a plant cell and label at least eight class 11 biology CBSEState the laws of reflection of lightExplain zero factorial class 11 maths CBSE

• 1
• 2

Repeaters Course for NEET 2022 - 23

NEET Repeater 2023 - Aakrosh 1 Year Course