Physics(Please respond)
posted by Hannah .
A person is riding a bicycle, and its wheels have an angular velocity of 26.0 rad/s. Then, the brakes are applied and the bike is brought to a uniform stop. During braking, the angular displacement of each wheel is 17.6 revolutions. (a) How much time does it take for the bike to come to rest? (b) What is the anguar acceleration (in rad/s2) of each wheel?
Do I need to convert revolutions to radians first?

Equations for decelerated motion are
ω=ωₒ  ε•t,
φ = ωₒ•t  ε•t²/2.
Since ω =0, φ = 2•π•N, where N =17.6 rev.
these equatuions are
0=ωₒε•t, …………………… (1)
2•π•N = ωₒ•t  ε•t²/2 …………(2)
From (1)
ε = ωₒ/t……………………… (3)
Plug it in (2) and obtain
t= 4•π•N/ ωₒ.
Then determine angular acceleration using (3). 
so first I have to do equation 2? So
2*pi*17.6 = I am not sure what wo is. Would it be the 26.0?
Respond to this Question
Similar Questions

physics
A person is riding a bicycle, and its wheels have an angular velocity of +15.5 rad/s. Then, the brakes are applied and the bike is brought to a uniform stop. During braking, the angular displacement of each wheel is +15.5 revolutions. … 
science , physics
A person is riding a bicycle, and its wheels have an angular velocity of +15.5 rad/s. Then, the brakes are applied and the bike is brought to a uniform stop. During braking, the angular displacement of each wheel is +15.5 revolutions. … 
physics
A person is riding a bicycle, the wheels of a bicycle have an angular velocity of +20.5 rad/s. Then, the brakes are applied. In coming to rest, each wheel makes an angular displacement of +12.0 revolutions. (a) How much time does it … 
Physics
A person is riding a bicycle, the wheels of a bicycle have an angular velocity of +18.5 rad/s. Then, the brakes are applied. In coming to rest, each wheel makes an angular displacement of +14.5 revolutions. (a) How much time does it … 
physics
Search: A person is riding a bicycle, the wheels of a bicycle have an angular velocity of +18.0 rad/s. Then, the brakes are applied. In coming to rest, each wheel makes an angular displacement of +11.0 revolutions. How much time does … 
physics
A person is riding a bicycle, the wheels of a bicycle have an angular velocity of +24.0 rad/s. Then, the brakes are applied. In coming to rest, each wheel makes an angular displacement of +16.0 revolutions. (a) How much time does it … 
Physics(Please help)
A person is riding a bicycle, and its wheels have an angular velocity of 26.0 rad/s. Then, the brakes are applied and the bike is brought to a uniform stop. During braking, the angular displacement of each wheel is 17.6 revolutions. … 
Physics
A person is riding a bicycle, and its wheels have an angular velocity of 17.7 rad/s. Then, the brakes are applied and the bike is brought to a uniform stop. During braking, the angular displacement of each wheel is 12.4 revolutions. … 
physics
A person is riding a bicycle, and its wheels have an angular velocity of 28.9 rad/s. Then, the brakes are applied and the bike is brought to a uniform stop. During braking, the angular displacement of each wheel is 13.6 revolutions. … 
physics
a person riding a bicycle whose wheels have an angular velocity of 20 rad/s. The brakes are applied, and the bike is brought to a stop through a uniform acceleration. During braking, the angular displacement of each wheel is 15.92 …