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What's on the worksheet
- Write each angular speed in the unit asked, exactly.90 rpm in radians per second3,600° per minute in rpm270° per second in radians per second\dfrac{5\pi}{6} radians per minute in degrees per second\dfrac{\pi}{15} radians per second in degrees per minute
- Maya's ceiling fan turns at 150 rpm.
- During the spin cycle, Omar times the drum of a washing machine:
- Isaac drives at a steady 72 km/h on tires of radius 32 cm.
- Mei spins a lazy Susan (a round tray that turns on a table) at a steady rate.
- The motor of Mateo's sewing machine turns at 1,500 rpm.
- Jin pedals his bicycle at 80 rpm.
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The free lesson teaches it with worked examples and practice problems.
Angular and linear speed: the lesson ›More Chapter 3 worksheets: Angles, radians and the unit circle
- 3.1Sine, cosine and tangent
- 3.2Trig values of the special right triangles
- 3.3Angles in standard position and coterminal angles
- 3.4Radian measure
- 3.5Arc length and sector area in radians
- 3.6Angular and linear speed
- 3.7Trig functions on the unit circle
- 3.8Sine, cosine and tangent as functions of a real number
- 3.9Reference angles
- 3.10Signs of the trig functions by quadrant
- 3.11Secant, cosecant and cotangent ratios
- 3.12Secant, cosecant and cotangent on the unit circle
- 3.13Exact values on the unit circle
- 3.14Unit circle symmetry and even-odd identities
- 3.15Periodicity and the periodicity identities