Question

an aero plane of mass 30000 kg travels in a horizontal loop of radius 10m at the rate of 1000 km/h. calculate the centripetal acceleration and centripetal force of aero plane

Answer 1

Question #79473, Physics / Other

an aero plane of mass 30000 kg travels in a horizontal loop of radius 10m at the rate of 1000 km/h. calculate the centripetal acceleration and centripetal force of aero plane

**Solution**

$$1000 \text{ km/h} = 278 \text{ m/s}$$

Centripetal acceleration:

$$a_{c} = \frac{v^{2}}{r} = \frac{278^{2}}{10} = 7,728.4 \text{ m/s}$$

Centripetal force:

$$F_{c} = ma_{c} = 30,000 \times 7,728.4 = 2.32 \times 10^{8} \text{ N}$$

Answer: 7,728 m/a and $2.32 \times 10^{8}$ N

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