A certain bicycle can go up a gentle incline with constant speed when the frictional force of ground pushing the rear wheel is $F_{2} = 4 N$ . If $R_{1} = 5 m$ and $R_{2} = 30 m$ , then what will be the force $F_{1}$ with which the chain must pull on the sprocket wheel?

4 N

No worries! We‘ve got your back. Try BYJU‘S free classes today!

24 N

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

140 N

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{35}{4} N

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $24 N$
Speed given is constant so we get the net torque about the center is zero. Thus we have
$F_{1} \times 5 = F_{2} \times 30$
We have $F_{2} = 4 N$ (This value of frictional force is given)
Thus we get $F_{1} = \frac{4 \times 30}{5} = 24 N$

Suggest Corrections

Similar questions

Q. A certain bicycle can go up on a gentle incline with a constant speed. If the frictional force of the ground pushing the rear wheel is

F_{2} = 4 N

, then what pulling force

F_{1}

must the chain apply on the sprocket wheel if

R_{1} = 30 m

and

R_{2} = 5 m

Q. A bicycle can go up a gentle incline with constant speed where the frictional force of ground pushing the rear wheel is

F_{2} = 4 N

. With what force

F_{1}

must the chain pull on the socket wheel if

R_{1} =

5 cm and

R_{2} =

30 cm ?

Q. When a bicycle is in motion the force of friction exerted by the ground on the two wheels (front and rear) is

F_{1}

and

F_{2}

respectively.Then

Q. When you are pedalling a bicycle, the frictional force exerted by the ground acts on the front wheel and on the rear wheel.

Three astronauts, propelled by jet backpacks, push and guide a 2kg asteroid toward a processing dock, exerting the forces shown in figure, with $F_{1} = 4 N, F_{2} = 4 N, F_{3} = 4 N, θ_{1} = 30^{\circ} a n d θ_{3} = 60^{\circ}$ . What is the asteroid's acceleration in unit-vector notation ?

Join BYJU'S Learning Program

A certain bicycle can go up a gentle incline with constant speed when the frictional force of ground pushing the rear wheel is F2=4N. If R1=5m and R2=30m, then what will be the force F1 with which the chain must pull on the sprocket wheel?

The correct option is B 24NSpeed given is constant so we get the net torque about the center is zero. Thus we haveF1×5=F2×30We have F2=4N (This value of frictional force is given)Thus we get F1=4×305=24N

A certain bicycle can go up a gentle incline with constant speed when the frictional force of ground pushing the rear wheel is $F_{2} = 4 N$ . If $R_{1} = 5 m$ and $R_{2} = 30 m$ , then what will be the force $F_{1}$ with which the chain must pull on the sprocket wheel?

The correct option is B $24 N$
Speed given is constant so we get the net torque about the center is zero. Thus we have
$F_{1} \times 5 = F_{2} \times 30$
We have $F_{2} = 4 N$ (This value of frictional force is given)
Thus we get $F_{1} = \frac{4 \times 30}{5} = 24 N$