U3 Videos FP 6.1.12

What is the formula for tangential acceleration (a_t) in terms of radius (r) and angular acceleration (α)?

• a_t = rΔθ

• a_t = rω

• a_t = rα

• a_t = r/α

A record player accelerates to a final angular velocity of 45 revolutions per minute. What is this angular velocity in radians per second?

• 0.75π rad/s

• 1.5π rad/s

• 45π rad/s

• 90π rad/s

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A record player uniformly accelerates from rest to 45 revolutions per minute in 0.85 seconds. What is the magnitude of its angular acceleration?

• 3.14 rad/s²

• 5.54 rad/s²

• 10.47 rad/s²

• 16.63 rad/s²

A mint is located 8.0 cm from the center of the record player. If the record player has an angular acceleration of 5.54 rad/s², what is the magnitude of the tangential acceleration of this mint?

• 16.6 cm/s²

• 44.3 cm/s²

• 72.1 cm/s²

• 8.0 cm/s²