A robotics engineer programs a robot arm to perform two rotations: first 120° anticlockwise about point A, then 150° clockwise about point A. What single rotation about A is equivalent to this combined transformation?

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Question

A robotics engineer programs a robot arm to perform two rotations: first 120° anticlockwise about point A, then 150° clockwise about point A. What single rotation about A is equivalent to this combined transformation?

Accepted Answer

30° clockwise — Award 1 mark for correct answer. Combining rotations about the same centre: 120° anticlockwise + 150° clockwise = 120° - 150° = -30°, which is 30° clockwise. B is incorrect because it uses addition instead of considering direction. C is incorrect because it adds the magnitudes. D is incorrect because this would be -120° + (-150°) = -270°.

Answer

30° anticlockwise

Answer

270° clockwise

Answer

270° anticlockwise

Answer

30° clockwise

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