Write the dimensional formula of a) Area b) Acceleration c) Force d) Energy e) Frequency
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☆Area = [L]2
☆Acceleration= Acceleration has the dimensions of velocity (L/T) divided by time, i.e. L T−2. The SI unit of acceleration is the metre per second squared (m s−2); or "metre per second per second", as the velocity in metres per second changes by the acceleration value, every second.
☆Force = The dimension of a derived unit like velocity, which is distance (length) divided by time, then becomes [LT−1] in this notation. The dimension of force, another derived unit, is the same as the dimension of mass times acceleration, and hence the dimension of force is [MLT−2].
☆Energy= E = [M] × [L1 T-1]2 = M1 L2 T-2. Therefore, energy is dimensionally represented as
☆Frequency = Frequency is measured in units of hertz (Hz) which is equal to one occurrence of a repeating event per second. The period is the duration of time of one cycle in a repeating event, so the period is the reciprocal of the frequency.
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