Makakuha ng mabilis at maaasahang mga sagot sa iyong mga tanong sa IDNStudy.com. Ang aming komunidad ay nagbibigay ng eksaktong sagot upang matulungan kang maunawaan at malutas ang anumang problema.

What is the centripetal force of 280 kg motorcycle is driven around a 12 meter tall vertical circular track at a constant speed of 40 m/s​

Sagot :

[tex]\tt{\huge{\blue{Explanation:}}}[/tex]

The centripetal force exerted on an object is given by

[tex]\boxed{F_{c} = \frac{mv^{2}}{r}}[/tex]

where:

Fc = centripetal force

m = mass

v = velocity

r = radius

[tex]\tt{\huge{\red{Solution:}}}[/tex]

Solving for r

Note: The height of the vertical circular track is equal to the diameter of the track

[tex]r = \dfrac{d}{2}[/tex]

[tex]r = \dfrac{\text{12 m}}{2}[/tex]

r = 6 m

Solving for Fc

[tex]F_{c} = \dfrac{mv^{2}}{r}[/tex]

[tex]F_{c} = \dfrac{(\text{280 kg})(\text{40 m/s})^{2}}{\text{6 m}}[/tex]

[tex]\boxed{F_{c} = \text{74.666.67 N}}[/tex]

Therefore, the centripetal force of the motorcycle is 74.666.67 N.

[tex]\\[/tex]

#CarryOnLearning