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Chapter 11: Q6Q (page 292)

Express the sine of \({\bf{30}}{\bf{.0^\circ }}\) with the correct number of significant figures.

Short Answer

Expert verified

The required number in significant figures is \(0.500\).

Step by step solution

01

Significant figures

For estimating the number of significant figures, the following rules are followed:

  • In a number, all the leading zeroes are non-significant.
  • The zero lying between two non-zero digits is significant.

The given angle is \(\theta = 30^\circ \).

The expression to determine the significant figures is \(\sin \theta \).

02

Applications of significant figures 

The following are two examples of significant figures:

There are four significant figures in the value \(160.0\;{\rm{mm}}\).

There are three significant figures in the value \(16.0\;{\rm{cm}}\).

To determine the significant figures, take the known values in the above expression:

\(\begin{aligned}{l}\sin 30^\circ \\0.500\end{aligned}\)

Thus, there are three significant figures in the given number.

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Most popular questions from this chapter

An object with mass 2.7 kg is executing simple harmonic motion, attached to a spring with spring constant k =310 N/m.When the object is 0.020 m from its equilibrium position, it is moving with a speed of 0.55 m/s. (a) Calculate the amplitude of the motion. (b) Calculate the maximum speed attained by the object.

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