A car drives 25 m/sec around a 35 m, 50^o corner in 6.2 seconds. Find the magnitude of the force that's keeping the car on the road.

25 m/sec is what?

1.   ?    s (arc length)
2.   ?    r (radius)
3.   ?    θ (angular displacement)
4.   ?    ω (angular speed)
5.   ?    α (angular acceleration)
6.   ?    v_t (tangential speed)
7.   ?    a_t (tangential acceleration)
8.   ?    a_c (centripetal acceleration)
9.   ?    Fc (centripetal force)
10.   ?    Fg (gravitational force)
11.   ?    t (time)

A car drives 25 m/sec around a 35 m, 50^o corner in 6.2 seconds. Find the magnitude of the force that's keeping the car on the road.

v_t = 25 m/sec

35 m is what?

1.   ?    s (arc length)
2.   ?    r (radius)
3.   ?    θ (angular displacement)
4.   ?    ω (angular speed)
5.   ?    α (angular acceleration)
6.   ?    v_t (tangential speed)
7.   ?    a_t (tangential acceleration)
8.   ?    a_c (centripetal acceleration)
9.   ?    Fc (centripetal force)
10.   ?    Fg (gravitational force)
11.   ?    t (time)

A car drives 25 m/sec around a 35 m, 50^o corner in 6.2 seconds. Find the magnitude of the force that's keeping the car on the road.

v_t = 25 m/sec
s = 35 m

50^o is what?

1.   ?    s (arc length)
2.   ?    r (radius)
3.   ?    θ (angular displacement)
4.   ?    ω (angular speed)
5.   ?    α (angular acceleration)
6.   ?    v_t (tangential speed)
7.   ?    a_t (tangential acceleration)
8.   ?    a_c (centripetal acceleration)
9.   ?    Fc (centripetal force)
10.   ?    Fg (gravitational force)
11.   ?    t (time)

A car drives 25 m/sec around a 35 m, 50^o corner in 6.2 seconds. Find the magnitude of the force that's keeping the car on the road.

v_t = 25 m/sec
s = 35 m
θ = 50^o

6.2 seconds is what?

1.   ?    s (arc length)
2.   ?    r (radius)
3.   ?    θ (angular displacement)
4.   ?    ω (angular speed)
5.   ?    α (angular acceleration)
6.   ?    v_t (tangential speed)
7.   ?    a_t (tangential acceleration)
8.   ?    a_c (centripetal acceleration)
9.   ?    Fc (centripetal force)
10.   ?    Fg (gravitational force)
11.   ?    t (time)

A car drives 25 m/sec around a 35 m, 50^o corner in 6.2 seconds. Find the magnitude of the force that's keeping the car on the road.

v_t = 25 m/sec
s = 35 m
θ = 50^o
t = 6.2 seconds

One of the above variables cannot be used as it is. Which one?

1.   ?    s (arc length)
2.   ?    r (radius)
3.   ?    θ (angular displacement)
4.   ?    ω (angular speed)
5.   ?    α (angular acceleration)
6.   ?    v_t (tangential speed)
7.   ?    a_t (tangential acceleration)
8.   ?    a_c (centripetal acceleration)
9.   ?    Fc (centripetal force)
10.   ?    Fg (gravitational force)
11.   ?    t (time)

A car drives 25 m/sec around a 35 m, 50^o corner in 6.2 seconds. Find the magnitude of the force that's keeping the car on the road.

v_t = 25 m/sec
s = 35 m
θ = 50^o(6.28 rad/360^o) = .87 rad
t = 6.2 seconds

What variable are you supposed to find?

1.   ?    s (arc length)
2.   ?    r (radius)
3.   ?    θ (angular displacement)
4.   ?    ω (angular speed)
5.   ?    α (angular acceleration)
6.   ?    v_t (tangential speed)
7.   ?    a_t (tangential acceleration)
8.   ?    a_c (centripetal acceleration)
9.   ?    Fc (centripetal force)
10.   ?    Fg (gravitational force)
11.   ?    t (time)

A horse on a merry-go-round is 3.56 m from the center of the merry-go-round. If the merry-go-round goes around 65 times in 75 seconds, find what its acceleration?

3.56 m is what?

1.   ?    s (arc length)
2.   ?    r (radius)
3.   ?    θ (angular displacement)
4.   ?    ω (angular speed)
5.   ?    α (angular acceleration)
6.   ?    v_t (tangential speed)
7.   ?    a_t (tangential acceleration)
8.   ?    a_c (centripetal acceleration)
9.   ?    Fc (centripetal force)
10.   ?    Fg (gravitational force)
11.   ?    t (time)

A horse on a merry-go-round is 3.56 m from the center of the merry-go-round. If the merry-go-round goes around 65 times in 75 seconds, find what its acceleration?

r = 3.56 cm

What is 65 times?

1.   ?    s (arc length)
2.   ?    r (radius)
3.   ?    θ (angular displacement)
4.   ?    ω (angular speed)
5.   ?    α (angular acceleration)
6.   ?    v_t (tangential speed)
7.   ?    a_t (tangential acceleration)
8.   ?    a_c (centripetal acceleration)
9.   ?    Fc (centripetal force)
10.   ?    Fg (gravitational force)
11.   ?    t (time)

A horse on a merry-go-round is 3.56 m from the center of the merry-go-round. If the merry-go-round goes around 65 times in 75 seconds, find what its acceleration?

r = 3.56 m
θ = 65 times

What is 75 seconds?

1.   ?    s (arc length)
2.   ?    r (radius)
3.   ?    θ (angular displacement)
4.   ?    ω (angular speed)
5.   ?    α (angular acceleration)
6.   ?    v_t (tangential speed)
7.   ?    a_t (tangential acceleration)
8.   ?    a_c (centripetal acceleration)
9.   ?    Fc (centripetal force)
10.   ?    Fg (gravitational force)
11.   ?    t (time)

A horse on a merry-go-round is 3.56 m from the center of the merry-go-round. If the merry-go-round goes around 65 times in 75 seconds, find what its acceleration?

r = 3.56 m
θ = 65 times
t = 75 seconds?

What variable are you trying to find?

1.   ?    s (arc length)
2.   ?    r (radius)
3.   ?    θ (angular displacement)
4.   ?    ω (angular speed)
5.   ?    α (angular acceleration)
6.   ?    v_t (tangential speed)
7.   ?    a_t (tangential acceleration)
8.   ?    a_c (centripetal acceleration)
9.   ?    Fc (centripetal force)
10.   ?    Fg (gravitational force)
11.   ?    t (time)

A horse on a merry-go-round is 3.56 m from the center of the merry-go-round. If the merry-go-round goes around 65 times in 75 seconds, find what its acceleration?

r = 3.56 m
θ = 65 times
t = 75 seconds?
a_c = ?

One of the above variables cannot be used as it is. Which one?

1.   ?    s (arc length)
2.   ?    r (radius)
3.   ?    θ (angular displacement)
4.   ?    ω (angular speed)
5.   ?    α (angular acceleration)
6.   ?    v_t (tangential speed)
7.   ?    a_t (tangential acceleration)
8.   ?    a_c (centripetal acceleration)
9.   ?    Fc (centripetal force)
10.   ?    Fg (gravitational force)
11.   ?    t (time)

A horse on a merry-go-round is 3.56 m from the center of the merry-go-round. If the merry-go-round goes around 65 times in 75 seconds, find what its acceleration?

r = 3.56 m
θ = 65 times(6.28 rad/1 time) = 408.2 rad
t = 75 seconds?
a_c = ?

In order to find a_c, what else must you first calculate?

1.   ?    s (arc length)
2.   ?    r (radius)
3.   ?    θ (angular displacement)
4.   ?    ω (angular speed)
5.   ?    α (angular acceleration)
6.   ?    v_t (tangential speed)
7.   ?    a_t (tangential acceleration)
8.   ?    a_c (centripetal acceleration)
9.   ?    Fc (centripetal force)
10.   ?    Fg (gravitational force)
11.   ?    t (time)