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14. FIGURE Q4.14 shows four rotating wheels. For each, determine the signs (+or −)of Ӭand α.

Short Answer

Expert verified

For wheel(a):Ӭ=−,α=+

For wheel (b):Ӭ=+,α=−

For wheel (c):Ӭ=−,α=−

For wheel (d):Ӭ=+,α=+

Step by step solution

01

Part (a)

As the wheel (a) is rotating in counter-clock wise direction therefore the sign of angular velocity as Ó¬=− v±ð, and since the wheel is speeding up, therefore the angular accelerationα=(+) v±ð

02

Part (b)

As the wheel (b) is rotating in clock wise direction therefore the sign of angular velocity asӬ=+ , and since the wheel is slowing down, therefore the angular accelerationα=−

03

Part (c)

As the wheel (c) is rotating in counter-clock wise direction therefore the sign of angular velocity as Ӭ=−ve, and since the wheel is slowing down, therefore the angular accelerationα=−

04

Part (d)

As the wheel (d) is rotating in clockwise direction therefore the sign of angular velocity as Ó¬=+ve, and since the wheel is speeding up, therefore the angular acceleration α=(+) v±ð.

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