A motorcycle of mass 100kg moves round in a circle of radius 10m with a velocity of 5 ms\(^{-1}\). find the coefficient of friction between the road and the tyres.

 

Valentineezekiel

3 years ago

Deriving a formular relating coefficient of friction and centripetal force is given as
F=uR
F=mv²/r
uR=mv²/r
making the coefficient of friction "u" the subject of formular
u=mv²/Rr
u=?
m=100kg
v=5ms-¹
r=10m
R=mg
u=Mv²/Mg*r
u=v²/gr
u=5*5/10*10
u=25/100
=0.25

Blackwell1996

9 years ago

Myschool is 100 percent correct

Explanation: tan theta=v square over rg and since tan theta is equal to coefficient of friction then substitute tan theta with coefficient of friction,hence the answer is 0.25

dorctob48

6 months ago

the first formula used F=mv²/r is for the frictional force(known as centripetal force)
the second formula used R=mg is the normal reaction force (weight)and it is based on gravity derived from F=ma(R=mg)
and the coefficient of friction is calculated by dividing the frictional force(F) by normal reaction force (R)given:ü=F/R
I hope this helps

Francis0003

5 years ago

how did you guys get that 250 abeg

Hopelary

1 year ago

Oga sir, this is not how you teach your students. Some of us here are beginners, we came here to learn. See the way you're just rushing like as if something is pursuing u, how do we understand what you're saying? Not only u, I think there's one other girl teaching English that also does the same thing. Are you guys trying to mock us or what? If I have known that this is how you people teach here, honestly, I wouldn't have wasted my money coming here. Like, WTF

ChrisLee1

1 year ago

The answer is correct, but the formula given is wrong. That's the source of this confusion for some people. if possible watch the video attached to the answer.

salaudeenibrahim123456789

6 months ago

I Don't understanding

Chizzylilian

1 year ago

100*5*5=250 which is not correct.

Chizzylilian

1 year ago

gravity is not given,r is it g.

bleeee

1 year ago

radius=10
gravity =10....how?
Is r=g?

dorctob48

6 months ago

the first formula used F=mv²/r is for the frictional force(known as centripetal force)
the second formula used R=mg is the normal reaction force (weight)
and the coefficient of friction is calculated by dividing the frictional force(F) by normal reaction force (R)given:ü=F/R

stacynursing

1 year ago

the solving for this is confusing

Atomic3567

1 year ago

Is R=resultant force

DrUche

11 years ago

Please admin and friends, if r is 10, how possible is it that F equals 250N? I simply mean the calculation is faulty.The right answer should have been A, 250N.

habidemy

10 years ago

Here is an explanation:

f=mv^2/r =(100*5)^2/10=25000

r=mg =100*10 =1000

frictional force=f/r =25000/1000

=25N