A displacement is related to time as x = A sin(2ft), where Aand f are constants.

Question

A displacement is related to time as x = A sin(2ft), where Aand f are constants. Find the dimensions of A. [Hint: Atrigonometric function appearing in an equation must bedimensionless.]

A. L*t
B. T/L
C. L
D. T.
E. L/T
I think i have it narrowed down between B and E but i'm notsure which one is the right answer and even if one of those choicesis the answer. Any help or explanations would be appreciated! A displacement is related to time as x = A sin(2ft), where Aand f are constants. Find the dimensions of A. [Hint: Atrigonometric function appearing in an equation must bedimensionless.]

A. L*t
B. T/L
C. L
D. T.
E. L/T
I think i have it narrowed down between B and E but i'm notsure which one is the right answer and even if one of those choicesis the answer. Any help or explanations would be appreciated!

Explanation / Answer

Adisplacement is related to time as x = A sin(2ft), where A andf are constants. Find the dimensions of A. [Hint: A trigonometricfunction appearing in an equation must be dimensionless.]

A. L*t
B. T/L
C. L
D. T.
E. L/T
I think i have it narrowed down between B and E but i'm notsure which one is the right answer and even if one of those choicesis the answer. Any help or explanations would be appreciated!

according to homogenity of equations the terms on both sides of theequation should have same dimension.
so the product A and sin(2ft), should have the dimension of xie length
as the trigonometric function appearing in an equation must bedimensionless
A should have the dimension of displacement
so the dimension of A =L
hence C is correct option.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.