PIEAS Pre Engineering MCQs

The x-component is A cosθ.
10 cos60° = 10×0.5 = 5.

Both sides of a valid physical equation must have the same dimensions.
Dimensional analysis can reveal inconsistent formulas.

The y-component is A sinθ.
10 sin30° = 10×0.5 = 5.

The newton is derived from base units as kg·m/s².
Metre, kilogram, and second are base units.

Precision describes repeatability.
Measurements can be precise without being accurate.

Accuracy describes agreement with the true or accepted value.
Systematic error can reduce accuracy.

Systematic errors often arise from calibration or method bias.
Repeated measurements do not automatically remove them.

The greatest common divisor of 18 and 24 is 6.
Dividing both terms by 6 gives 3/4.

Convert 2/3 to sixths: 2/3 = 4/6.
Then 4/6 + 1/6 = 5/6.

Convert 1/4 to 2/8.
Then 7/8 - 2/8 = 5/8.

Multiply numerators and denominators, then simplify.
(3 × 10)/(5 × 9) = 30/45 = 2/3.

Dividing by a fraction means multiplying by its reciprocal.
Thus, 4/7 × 3/2 = 12/14 = 6/7.