1.7.14 Small angle approximations (A-level only)

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Question 17

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]

1.7.14 Small angle approximations (A-level only)

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22

Question 17

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]

1.7.14 Small angle approximations (A-level only)

Question 17

1.7.14 Small angle approximations (A-level only) Questions

1.7.14 Small angle approximations (A-level only)

Question 17

1.7.14 Small angle approximations (A-level only) Questions