Radians

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Question 29

The lateral force $F$ , measured in Newtons, exerted on a precision pendulum support is modeled by the function

F(\theta) = 14.5 + 54 \sin \left( \frac{\theta}{6} \right) - 16 \tan \left( \frac{\theta}{8} \right)

where $θ\theta$ is the angular displacement from the vertical in radians. Show that, for small values of $θ\theta$ , the graph of $F$ against $θ\theta$ can be approximated by a straight line, and state the equation of this line.

[4]

Radians

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Question 29

The lateral force $F$ , measured in Newtons, exerted on a precision pendulum support is modeled by the function

F(\theta) = 14.5 + 54 \sin \left( \frac{\theta}{6} \right) - 16 \tan \left( \frac{\theta}{8} \right)

where $θ\theta$ is the angular displacement from the vertical in radians. Show that, for small values of $θ\theta$ , the graph of $F$ against $θ\theta$ can be approximated by a straight line, and state the equation of this line.

[4]

Radians

Question 29

Radians Questions

Radians

Question 29

Radians Questions