20.2k views
1 vote
what is the minimum speed that evil knevil must mantain on his motorcycle in order to make it around the loop-de-loop at ceasar's palace if together he and his bike weigh 3050n and the radius of the track is 25m

User Kreuzberg
by
8.8k points

1 Answer

4 votes

Answer:

Minimum speed = 15.65 m/s

Step-by-step explanation:

Parameters given:

Weight = 3050N

Radius of loop-de-loop track = 25m

In order to make it round the loop-de-loop, the Evil Knevil must get to the top of the loop.

At the top of the loop, asides from the Centripetal force acting on Evil and his bike, the gravitational force acts on them, pulling them down.

Considering the centripetal force, we know that centripetal acceleration is given as:

a = (v^2)/r

At the top of the loop, a = g (acceleration due to gravity). Hence,

g = (v^2)/r

=> v^2 = g*r

v = √(g*r)

v = √(9.8 * 25)

v = √(245)

v = 15.65 m/s

Hence, Evil Knevil must maintain a minimum speed of 15.65m/s to go round the loop-de-loop.

User Brian Buck
by
7.8k points

Related questions

asked Jul 23, 2024 207k views
Tommy Hui asked Jul 23, 2024
by Tommy Hui
8.4k points
2 answers
0 votes
207k views
asked Jan 24, 2016 184k views
Rom Eh asked Jan 24, 2016
by Rom Eh
8.1k points
1 answer
4 votes
184k views