Find dimensions of Angular Acceleration α

Angular Acceleration of a rotating object is defined as change in it’s angular velocity per unit of time. Angular Acceleration α = Δω/ΔtWhereΔω = change in angular velocityΔt = change in time ThusDimensions…

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Find dimensions of Angular Speed ω

Angular speed of a rotating object is defined as change in it’s angular rotation per unit of time. Angular speed ω = change in angular rotation/change in timeω = Δθ/Δt WhereΔθ = change…

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Find dimensions of Pressure

Pressure on a surface is defined as force being applied on per unit area of it. Pressure = Force/Area ThusDimensions of Pressure = Dimensions of Force/Dimension of Area Dimensions of Force = [MLT-2]Dimensions…

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Find the dimensions of Frequency

Frequency is defined as inverse of time period Frequency = 1/time period = 1/T Thus, Dimensions of frequency are [M0L0T-1]

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Find Dimensions of Linear Momentum

Linear Momentum of an object is defined as product of it’s mass and velocity. Linear Momentum = Mass × Velocity Dimensions of Linear Momentum = [Mass][Velocity]= [M][LT-1] = [MLT-1] Thus dimensions of Linear…

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If the centripetal force is of the form m^a v^b r^c. Find the values of a, b, c

As per question its given that Force = mavbrc We know that dimensions of Force are [MLT-2] Thus[MLT-2] = [mavbrc] = [Ma (LT-1)b Lc] [MLT-2] = [Ma LbT-b Lc] = [Ma Lb +…

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The distance covered by a particle in time t is given by x = a + bt + ct^2 + dt^3. Find the dimensions of a, b, c, d

We are given that x = a + bt + ct2 + dt3 where x is distanceThusDimensions of left hand side of this equation are [x] = [L] In order for given equation…

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Test dimensionally if equation v^2 = u^2 + 2ax is correct or not

We’re given that v2 = u2 + 2axWherev, u = Velocitiesa = Accelerationx = Distance In order for this equation to be correct dimensionally, dimensions of left hand side must be equal to…

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If velocity, time and force were chosen as basic quantities, find the dimensions of mass

We know that Force = mass × accelerationacceleration = velocity/time ⇒ Force = mass × velocity/time Taking dimensions on both sides of this equation[F] = [M] [V]/[T] [F] = [M] [V] [T-1] [F]/[V]…

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Dimensional Formula of Resistance R

Dimensional formula of resistance R We know that V = IR ThusR = V/I Taking dimensions on both sides of this equation R = V/I [R] = [V]/[I] [V] = [ML2I-1T-3] [R] =…

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