Correct! All transcendental functions (sin, cos, ln, etc.) must be pure numbers, so in this problem sin bt can now be ignored
[E] =[al sin bt] = [al] = [a][l]
[a] = [E]/[l] = [Fl]/[l] = [F] = MLT-2
The units of a are newtons (N).

If you have difficulty with units and dimensions you are STRONGLY urged to use the tutorial Dimensional Analysis.

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