Convert 40° into radians. Leave your answers in terms of π\pi. Answer ... radians Convert 23 km/h into m/s. Answer ... m/s

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Worked solution

8(a)

1. Convert degrees to radians and simplify.

40∘=40×π180=40π180=2π940^\circ = 40 \times \dfrac{\pi}{180} = \dfrac{40\pi}{180} = \dfrac{2\pi}{9} radians

Answer

2π9\dfrac{2\pi}{9} radians

8(b)

1. Convert $23$ km/h to m/s using the unit conversion factor.

23 km/h=23×1000 m3600 s=11518 m/s=6.388… m/s23\text{ km/h}=23\times \dfrac{1000\text{ m}}{3600\text{ s}}=\dfrac{115}{18}\text{ m/s}=6.388\ldots\text{ m/s}

Answer

11518\dfrac{115}{18} m/s, or 6.396.39 m/s

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