Find dimensions of Electric Field E

Electric Field is a force produced by a charge near its surroundings. Mathematically, its described as electric force per unit charge. E = F/QWhereE = Electric FieldF = Force on chargeQ = Charge…

Read more

Find dimensions of Moment of Inertia I

Formula of moment of inertia I is mr2 I = mr2 ThusDimensions of moment of inertia I = Dimensions of mr2= [M][L2] = [ML2T0] Thus dimensions of moment of inertia I are [ML2T0]

Read more

Find dimensions of Torque 𝜏

Torque is defined as measure of force that can cause an object to rotate about an axis. In terms of formula itsTorque 𝜏 = rF Sinθ ThusDimensions of Torque 𝜏 = Dimensions of…

Read more

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…

Read more

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…

Read more

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…

Read more

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]

Read more

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…

Read more

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 +…

Read more

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…

Read more